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424956096 = 26322332077
BaseRepresentation
bin11001010101000…
…101000011000000
31002121122000011200
4121111011003000
51332242043341
6110100141200
713350032025
oct3125050300
91077560150
10424956096
111a8970894
12ba397800
136a06b816
144061d54c
1527492db6
hex195450c0

424956096 has 84 divisors (see below), whose sum is σ = 1271058672. Its totient is φ = 135489024.

The previous prime is 424956047. The next prime is 424956107. The reversal of 424956096 is 690659424.

424956096 is a `hidden beast` number, since 42 + 49 + 560 + 9 + 6 = 666.

It is a super-2 number, since 2×4249560962 = 361175367055122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2791 + ... + 29286.

Almost surely, 2424956096 is an apocalyptic number.

424956096 is a gapful number since it is divisible by the number (46) 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 424956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635529336).

424956096 is an abundant number, since it is smaller than the sum of its proper divisors (846102576).

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

424956096 is a wasteful number, since it uses less digits than its factorization.

424956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32118 (or 32105 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 424956096 is about 20614.4632721786. The cubic root of 424956096 is about 751.8214077178.

The spelling of 424956096 in words is "four hundred twenty-four million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 32077 64154 96231 128308 192462 256616 288693 384924 513232 577386 737771 769848 1026464 1154772 1475542 1539696 2052928 2213313 2309544 2951084 3079392 4426626 4619088 5902168 6158784 6639939 8853252 9238176 11804336 13279878 17706504 18476352 23608672 26559756 35413008 47217344 53119512 70826016 106239024 141652032 212478048 424956096