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5056464 = 2437101149
BaseRepresentation
bin10011010010011111010000
3100111220011110
4103102133100
52243301324
6300213320
760656610
oct23223720
910456143
105056464
112943aa6
12183a240
1310806ba
14958a40
1569d329
hex4d27d0

5056464 has 80 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1420800.

The previous prime is 5056459. The next prime is 5056487. The reversal of 5056464 is 4646505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33862 + ... + 34010.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 25056464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

5056464 is an abundant number, since it is smaller than the sum of its proper divisors (10121136).

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

5056464 is a wasteful number, since it uses less digits than its factorization.

5056464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5056464 is about 2248.6582666114. The cubic root of 5056464 is about 171.6388673159.

The spelling of 5056464 in words is "five million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 149 168 202 298 303 336 404 447 596 606 707 808 894 1043 1192 1212 1414 1616 1788 2086 2121 2384 2424 2828 3129 3576 4172 4242 4848 5656 6258 7152 8344 8484 11312 12516 15049 16688 16968 25032 30098 33936 45147 50064 60196 90294 105343 120392 180588 210686 240784 316029 361176 421372 632058 722352 842744 1264116 1685488 2528232 5056464