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425616400 = 24521196731
BaseRepresentation
bin11001010111100…
…110010000010000
31002122212112221101
4121113212100100
51332424211100
6110122234144
713355452066
oct3127462020
91078775841
10425616400
111a92819a0
12ba655954
136a240231
1440752036
152757386a
hex195e6410

425616400 has 60 divisors (see below), whose sum is σ = 1115513424. Its totient is φ = 154768000.

The previous prime is 425616313. The next prime is 425616407. The reversal of 425616400 is 4616524.

It is a super-2 number, since 2×4256164002 = 362298639897920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (425616407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43966 + ... + 52765.

Almost surely, 2425616400 is an apocalyptic number.

425616400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425616400 is an abundant number, since it is smaller than the sum of its proper divisors (689897024).

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

425616400 is a wasteful number, since it uses less digits than its factorization.

425616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96760 (or 96749 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 425616400 is about 20630.4726072865. The cubic root of 425616400 is about 752.2106038319.

The spelling of 425616400 in words is "four hundred twenty-five million, six hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 96731 193462 386924 483655 773848 967310 1064041 1547696 1934620 2128082 2418275 3869240 4256164 4836550 5320205 7738480 8512328 9673100 10640410 17024656 19346200 21280820 26601025 38692400 42561640 53202050 85123280 106404100 212808200 425616400