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421552992 = 25371016211
BaseRepresentation
bin11001001000000…
…110001101100000
31002101020002222210
4121020012031200
51330404143432
6105455202120
713306066320
oct3110061540
91071202883
10421552992
111a6a57003
12b9216340
1369449853
143ddb5280
152701e8cc
hex19206360

421552992 has 96 divisors (see below), whose sum is σ = 1277385984. Its totient is φ = 119232000.

The previous prime is 421552991. The next prime is 421552997. The reversal of 421552992 is 299255124.

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

It is a self number, because there is not a number n which added to its sum of digits gives 421552992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421552991) 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, 64767 + ... + 70977.

It is an arithmetic number, because the mean of its divisors is an integer number (13306104).

Almost surely, 2421552992 is an apocalyptic number.

421552992 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 421552992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638692992).

421552992 is an abundant number, since it is smaller than the sum of its proper divisors (855832992).

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

421552992 is a wasteful number, since it uses less digits than its factorization.

421552992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6324 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 421552992 is about 20531.7556969685. The cubic root of 421552992 is about 749.8091318744.

The spelling of 421552992 in words is "four hundred twenty-one million, five hundred fifty-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 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 6211 8484 9696 11312 12422 16968 18633 22624 24844 33936 37266 43477 49688 67872 74532 86954 99376 130431 149064 173908 198752 260862 298128 347816 521724 596256 627311 695632 1043448 1254622 1391264 1881933 2086896 2509244 3763866 4173792 4391177 5018488 7527732 8782354 10036976 13173531 15055464 17564708 20073952 26347062 30110928 35129416 52694124 60221856 70258832 105388248 140517664 210776496 421552992