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4912032 = 253192693
BaseRepresentation
bin10010101111001110100000
3100020120001010
4102233032200
52224141112
6253140520
756515536
oct22571640
910216033
104912032
112855534
12178a740
13102ca38
1491c156
1567063c
hex4af3a0

4912032 has 48 divisors (see below), whose sum is σ = 13577760. Its totient is φ = 1550592.

The previous prime is 4912027. The next prime is 4912057. The reversal of 4912032 is 2302194.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (282870).

Almost surely, 24912032 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 4912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788880).

4912032 is an abundant number, since it is smaller than the sum of its proper divisors (8665728).

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

4912032 is a wasteful number, since it uses less digits than its factorization.

4912032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4912032 is about 2216.3104475682. The cubic root of 4912032 is about 169.9888343301.

The spelling of 4912032 in words is "four million, nine hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2693 5386 8079 10772 16158 21544 32316 43088 51167 64632 86176 102334 129264 153501 204668 258528 307002 409336 614004 818672 1228008 1637344 2456016 4912032