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4757434264 = 2311236013911
BaseRepresentation
bin1000110111001000…
…01010111110011000
3110021112221200221001
410123210022332120
534220400344024
62104024154344
7225615344512
oct43344127630
913245850831
104757434264
1120214a1860
12b093089b4
135aa81cc7b
14331b9cbb2
151cc9e0244
hex11b90af98

4757434264 has 64 divisors (see below), whose sum is σ = 10173703680. Its totient is φ = 2064480000.

The previous prime is 4757434259. The next prime is 4757434267. The reversal of 4757434264 is 4624347574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4757434267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214469 + ... + 1218379.

It is an arithmetic number, because the mean of its divisors is an integer number (158964120).

Almost surely, 24757434264 is an apocalyptic number.

4757434264 is a gapful number since it is divisible by the number (44) 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 4757434264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086851840).

4757434264 is an abundant number, since it is smaller than the sum of its proper divisors (5416269416).

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

4757434264 is a wasteful number, since it uses less digits than its factorization.

4757434264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4548 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 46.

The square root of 4757434264 is about 68974.1564935737. The cubic root of 4757434264 is about 1681.8642221616.

The spelling of 4757434264 in words is "four billion, seven hundred fifty-seven million, four hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 601 1012 1202 2024 2404 3911 4808 6611 7822 13222 13823 15644 26444 27646 31288 43021 52888 55292 86042 89953 110584 152053 172084 179906 304106 344168 359812 608212 719624 989483 1216424 1978966 2350511 3957932 4701022 7915864 9402044 18804088 25855621 51711242 54061753 103422484 108123506 206844968 216247012 432494024 594679283 1189358566 2378717132 4757434264