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8497152 = 21132461
BaseRepresentation
bin100000011010…
…100000000000
3120222200220100
4200122200000
54133402102
6502042400
7132140016
oct40324000
916880810
108497152
114884044
122a19400
1319b6801
1411b28b6
15b2ca1c
hex81a800

8497152 has 72 divisors (see below), whose sum is σ = 24594570. Its totient is φ = 2826240.

The previous prime is 8497147. The next prime is 8497157. The reversal of 8497152 is 2517948.

8497152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8497147) and next prime (8497157).

It can be written as a sum of positive squares in only one way, i.e., 7750656 + 746496 = 2784^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×84971522 = 144403184222208, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8497157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18202 + ... + 18662.

Almost surely, 28497152 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 8497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297285).

8497152 is an abundant number, since it is smaller than the sum of its proper divisors (16097418).

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

8497152 is a wasteful number, since it uses less digits than its factorization.

8497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 466 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 8497152 is about 2914.9874785323. The cubic root of 8497152 is about 204.0599593071.

It can be divided in two parts, 8497 and 152, that added together give a square (8649 = 932).

The spelling of 8497152 in words is "eight million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 461 512 576 768 922 1024 1152 1383 1536 1844 2048 2304 2766 3072 3688 4149 4608 5532 6144 7376 8298 9216 11064 14752 16596 18432 22128 29504 33192 44256 59008 66384 88512 118016 132768 177024 236032 265536 354048 472064 531072 708096 944128 1062144 1416192 2124288 2832384 4248576 8497152