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38464164 = 22323767431
BaseRepresentation
bin1001001010111…
…0101010100100
32200101011220200
42102232222210
534321323124
63452230500
7644640264
oct222565244
980334820
1038464164
111a791772
1210a6b430
137c7977b
1451737a4
15359bbc9
hex24aeaa4

38464164 has 72 divisors (see below), whose sum is σ = 101582208. Its totient is φ = 12260160.

The previous prime is 38464163. The next prime is 38464177. The reversal of 38464164 is 46146483.

38464164 is a `hidden beast` number, since 3 + 8 + 4 + 641 + 6 + 4 = 666.

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 (38464163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89029 + ... + 89459.

It is an arithmetic number, because the mean of its divisors is an integer number (1410864).

Almost surely, 238464164 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 38464164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104).

38464164 is an abundant number, since it is smaller than the sum of its proper divisors (63118044).

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

38464164 is a wasteful number, since it uses less digits than its factorization.

38464164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38464164 is about 6201.9484035261. The cubic root of 38464164 is about 337.5608713251.

The spelling of 38464164 in words is "thirty-eight million, four hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 431 444 603 666 804 862 1206 1293 1332 1724 2412 2479 2586 3879 4958 5172 7437 7758 9916 14874 15516 15947 22311 28877 29748 31894 44622 47841 57754 63788 86631 89244 95682 115508 143523 173262 191364 259893 287046 346524 519786 574092 1039572 1068449 2136898 3205347 4273796 6410694 9616041 12821388 19232082 38464164