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37970244 = 2232132792
BaseRepresentation
bin1001000011011…
…0000101000100
32122110002101100
42100312011010
534210021434
63433500100
7640512264
oct220660504
978402340
1037970244
111a484674
1210871630
137b35a00
1450857a4
153500699
hex2436144

37970244 has 81 divisors (see below), whose sum is σ = 105263613. Its totient is φ = 11535264.

The previous prime is 37970239. The next prime is 37970249. The reversal of 37970244 is 44207973.

The square root of 37970244 is 6162.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (37970239) and next prime (37970249).

It can be written as a sum of positive squares in only one way, i.e., 5616900 + 32353344 = 2370^2 + 5688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37970199 and 37970208.

It is not an unprimeable number, because it can be changed into a prime (37970249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 480597 + ... + 480675.

Almost surely, 237970244 is an apocalyptic number.

37970244 is the 6162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37970244

37970244 is an abundant number, since it is smaller than the sum of its proper divisors (67293369).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37970244 is a wasteful number, since it uses less digits than its factorization.

37970244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The cubic root of 37970244 is about 336.1097643084.

Multiplying 37970244 by its sum of digits (36), we get a square (1366928784 = 369722).

37970244 divided by its sum of digits (36) gives a square (1054729 = 10272).

The spelling of 37970244 in words is "thirty-seven million, nine hundred seventy thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 169 234 237 316 338 468 474 507 676 711 948 1014 1027 1422 1521 2028 2054 2844 3042 3081 4108 6084 6162 6241 9243 12324 12482 13351 18486 18723 24964 26702 36972 37446 40053 53404 56169 74892 80106 81133 112338 120159 160212 162266 224676 240318 243399 324532 480636 486798 730197 973596 1054729 1460394 2109458 2920788 3164187 4218916 6328374 9492561 12656748 18985122 37970244