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949061412 = 2232132473319
BaseRepresentation
bin111000100100011…
…000011100100100
32110010211022111200
4320210120130210
53420424431122
6234101402500
732342613615
oct7044303444
92403738450
10949061412
114477a1982
12225a09430
13121813800
149008bc0c
15584bd5ac
hex38918724

949061412 has 108 divisors (see below), whose sum is σ = 2653822080. Its totient is φ = 285719616.

The previous prime is 949061411. The next prime is 949061521. The reversal of 949061412 is 214160949.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (949061411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284289 + ... + 287607.

Almost surely, 2949061412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949061412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326911040).

949061412 is an abundant number, since it is smaller than the sum of its proper divisors (1704760668).

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

949061412 is a wasteful number, since it uses less digits than its factorization.

949061412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 949061412 is about 30806.8403443131. The cubic root of 949061412 is about 982.7237196192.

The spelling of 949061412 in words is "nine hundred forty-nine million, sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 169 188 234 282 338 423 468 507 564 611 676 846 1014 1222 1521 1692 1833 2028 2444 3042 3319 3666 5499 6084 6638 7332 7943 9957 10998 13276 15886 19914 21996 23829 29871 31772 39828 43147 47658 59742 71487 86294 95316 119484 129441 142974 155993 172588 258882 285948 311986 388323 467979 517764 560911 623972 776646 935958 1121822 1403937 1553292 1682733 1871916 2027909 2243644 2807874 3365466 4055818 5048199 5615748 6083727 6730932 8111636 10096398 12167454 18251181 20192796 24334908 26362817 36502362 52725634 73004724 79088451 105451268 158176902 237265353 316353804 474530706 949061412