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424726960 = 2457758441
BaseRepresentation
bin11001010100001…
…101000110110000
31002121012100212011
4121110031012300
51332212230320
6110051212304
713345056010
oct3124150660
91077170764
10424726960
111a8824719
12ba2a7094
1369cbb438
144059dc40
152744a05a
hex1950d1b0

424726960 has 40 divisors (see below), whose sum is σ = 1128561696. Its totient is φ = 145620480.

The previous prime is 424726933. The next prime is 424726979. The reversal of 424726960 is 69627424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378661 + ... + 379780.

Almost surely, 2424726960 is an apocalyptic number.

424726960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424726960 is an abundant number, since it is smaller than the sum of its proper divisors (703834736).

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

424726960 is a wasteful number, since it uses less digits than its factorization.

424726960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758461 (or 758455 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 424726960 is about 20608.9048714385. The cubic root of 424726960 is about 751.6862562488.

The spelling of 424726960 in words is "four hundred twenty-four million, seven hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 758441 1516882 3033764 3792205 5309087 6067528 7584410 10618174 12135056 15168820 21236348 26545435 30337640 42472696 53090870 60675280 84945392 106181740 212363480 424726960