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2423290464 = 253271202029
BaseRepresentation
bin1001000001110000…
…0111101001100000
320020212211220120200
42100130013221200
514430330243324
61040243305200
7114023425530
oct22034075140
96225756520
102423290464
11103397aaa1
1257767b200
132c80819aa
1418dba34c0
15e2b26ec9
hex90707a60

2423290464 has 72 divisors (see below), whose sum is σ = 7875700560. Its totient is φ = 692368128.

The previous prime is 2423290459. The next prime is 2423290481. The reversal of 2423290464 is 4640923242.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 598999 + ... + 603030.

It is an arithmetic number, because the mean of its divisors is an integer number (109384730).

Almost surely, 22423290464 is an apocalyptic number.

2423290464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2423290464 is an abundant number, since it is smaller than the sum of its proper divisors (5452410096).

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

2423290464 is a wasteful number, since it uses less digits than its factorization.

2423290464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202052 (or 1202041 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2423290464 is about 49226.9282405474. The cubic root of 2423290464 is about 1343.1829110871.

The spelling of 2423290464 in words is "two billion, four hundred twenty-three million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1202029 2404058 3606087 4808116 7212174 8414203 9616232 10818261 14424348 16828406 19232464 21636522 25242609 28848696 33656812 38464928 43273044 50485218 57697392 67313624 75727827 86546088 100970436 115394784 134627248 151455654 173092176 201940872 269254496 302911308 346184352 403881744 605822616 807763488 1211645232 2423290464