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18397152 = 2533107199
BaseRepresentation
bin100011000101…
…1011111100000
31021121200011000
41012023133200
514202202102
61454152000
7312242004
oct106133740
937550130
1018397152
11a426064
1261b2600
133a719b7
14262c704
15193601c
hex118b7e0

18397152 has 96 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6044544.

The previous prime is 18397133. The next prime is 18397157. The reversal of 18397152 is 25179381.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×183971522 = 676910403422208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18397157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92349 + ... + 92547.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 218397152 is an apocalyptic number.

18397152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18397152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

18397152 is an abundant number, since it is smaller than the sum of its proper divisors (36034848).

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

18397152 is a wasteful number, since it uses less digits than its factorization.

18397152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 18397152 is about 4289.1901333469. The cubic root of 18397152 is about 263.9876027236.

The spelling of 18397152 in words is "eighteen million, three hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 199 214 216 288 321 398 428 432 597 642 796 856 864 963 1194 1284 1592 1712 1791 1926 2388 2568 2889 3184 3424 3582 3852 4776 5136 5373 5778 6368 7164 7704 9552 10272 10746 11556 14328 15408 19104 21293 21492 23112 28656 30816 42586 42984 46224 57312 63879 85172 85968 92448 127758 170344 171936 191637 255516 340688 383274 511032 574911 681376 766548 1022064 1149822 1533096 2044128 2299644 3066192 4599288 6132384 9198576 18397152