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147997152 = 2533171293
BaseRepresentation
bin10001101001001…
…00000111100000
3101022111000221000
420310210013200
5300341402102
622404032000
73444645402
oct1064440740
9338430830
10147997152
11765a44a6
1241692600
132487a3a4
1415926b72
15ced601c
hex8d241e0

147997152 has 48 divisors (see below), whose sum is σ = 431660880. Its totient is φ = 49332096.

The previous prime is 147997141. The next prime is 147997153. The reversal of 147997152 is 251799741.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1479971522 = 43806314000222208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147997098 and 147997107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147997153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84783 + ... + 86510.

It is an arithmetic number, because the mean of its divisors is an integer number (8992935).

Almost surely, 2147997152 is an apocalyptic number.

147997152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147997152 is an abundant number, since it is smaller than the sum of its proper divisors (283663728).

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

147997152 is a wasteful number, since it uses less digits than its factorization.

147997152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171312 (or 171298 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 147997152 is about 12165.4080079544. The cubic root of 147997152 is about 528.9538542967.

The spelling of 147997152 in words is "one hundred forty-seven million, nine 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 96 108 144 216 288 432 864 171293 342586 513879 685172 1027758 1370344 1541637 2055516 2740688 3083274 4111032 4624911 5481376 6166548 8222064 9249822 12333096 16444128 18499644 24666192 36999288 49332384 73998576 147997152