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38157440 = 27559621
BaseRepresentation
bin1001000110001…
…1110010000000
32122210121011112
42101203302000
534232014230
63441502452
7642222116
oct221436200
978717145
1038157440
111a5a2282
1210941a28
137b9cc89
1450d3ab6
15353ad95
hex2463c80

38157440 has 32 divisors (see below), whose sum is σ = 91221660. Its totient is φ = 15262720.

The previous prime is 38157439. The next prime is 38157443. The reversal of 38157440 is 4475183.

It can be written as a sum of positive squares in 2 ways, for example, as 37650496 + 506944 = 6136^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38157397 and 38157406.

It is not an unprimeable number, because it can be changed into a prime (38157443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29171 + ... + 30450.

Almost surely, 238157440 is an apocalyptic number.

It is an amenable number.

38157440 is an abundant number, since it is smaller than the sum of its proper divisors (53064220).

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

38157440 is an equidigital number, since it uses as much as digits as its factorization.

38157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59640 (or 59628 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 38157440 is about 6177.1708734663. The cubic root of 38157440 is about 336.6612074184.

The spelling of 38157440 in words is "thirty-eight million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 59621 119242 238484 298105 476968 596210 953936 1192420 1907872 2384840 3815744 4769680 7631488 9539360 19078720 38157440