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264052830 = 23529367827
BaseRepresentation
bin11111011110100…
…10000001011110
3200101212021101110
433233102001132
51020044142310
642111322450
76354261216
oct1757220136
9611767343
10264052830
11126061888
1274520426
1342922ba2
14270d7246
15182acd20
hexfbd205e

264052830 has 64 divisors (see below), whose sum is σ = 658160640. Its totient is φ = 67718784.

The previous prime is 264052807. The next prime is 264052847. The reversal of 264052830 is 38250462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318877 + ... + 319703.

It is an arithmetic number, because the mean of its divisors is an integer number (10283760).

Almost surely, 2264052830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264052830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329080320).

264052830 is an abundant number, since it is smaller than the sum of its proper divisors (394107810).

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

264052830 is a wasteful number, since it uses less digits than its factorization.

264052830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 264052830 is about 16249.7024588144. The cubic root of 264052830 is about 641.5496545690.

The spelling of 264052830 in words is "two hundred sixty-four million, fifty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 367 435 734 827 870 1101 1654 1835 2202 2481 3670 4135 4962 5505 8270 10643 11010 12405 21286 23983 24810 31929 47966 53215 63858 71949 106430 119915 143898 159645 239830 303509 319290 359745 607018 719490 910527 1517545 1821054 3035090 4552635 8801761 9105270 17603522 26405283 44008805 52810566 88017610 132026415 264052830