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48592992 = 2537167433
BaseRepresentation
bin1011100101011…
…1100001100000
310101102210001110
42321113201200
544414433432
64453303320
71130014350
oct271274140
9111383043
1048592992
112547a6a8
1214334b40
13a0b4b66
14664cb60
1543ecdcc
hex2e57860

48592992 has 96 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 13768704.

The previous prime is 48592981. The next prime is 48592993. The reversal of 48592992 is 29929584.

It is a happy number.

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

It is a super-2 number, since 2×485929922 = 4722557743024128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48592993) 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, 112008 + ... + 112440.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 248592992 is an apocalyptic number.

48592992 is a gapful number since it is divisible by the number (42) 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 48592992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

48592992 is an abundant number, since it is smaller than the sum of its proper divisors (98397600).

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

48592992 is a wasteful number, since it uses less digits than its factorization.

48592992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 48592992 is about 6970.8673778806. The cubic root of 48592992 is about 364.9145781210.

The spelling of 48592992 in words is "forty-eight million, five hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 334 336 433 501 668 672 866 1002 1169 1299 1336 1732 2004 2338 2598 2672 3031 3464 3507 4008 4676 5196 5344 6062 6928 7014 8016 9093 9352 10392 12124 13856 14028 16032 18186 18704 20784 24248 28056 36372 37408 41568 48496 56112 72311 72744 96992 112224 144622 145488 216933 289244 290976 433866 506177 578488 867732 1012354 1156976 1518531 1735464 2024708 2313952 3037062 3470928 4049416 6074124 6941856 8098832 12148248 16197664 24296496 48592992