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52641435 = 35721117383
BaseRepresentation
bin1100100011001…
…1111010011011
310200001110110210
43020303322123
5101434011220
65120142203
71206305400
oct310637233
9120043423
1052641435
1127795320
1215767963
13aba17a2
146dc42a7
15494c6e0
hex3233e9b

52641435 has 96 divisors (see below), whose sum is σ = 113467392. Its totient is φ = 20536320.

The previous prime is 52641427. The next prime is 52641439. The reversal of 52641435 is 53414625.

It is not a de Polignac number, because 52641435 - 23 = 52641427 is a prime.

It is a super-2 number, since 2×526414352 = 5542241357718450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52641439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137254 + ... + 137636.

It is an arithmetic number, because the mean of its divisors is an integer number (1181952).

Almost surely, 252641435 is an apocalyptic number.

52641435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52641435 is an abundant number, since it is smaller than the sum of its proper divisors (60825957).

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

52641435 is a wasteful number, since it uses less digits than its factorization.

52641435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

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

The square root of 52641435 is about 7255.4417508516. The cubic root of 52641435 is about 374.7795682294.

The spelling of 52641435 in words is "fifty-two million, six hundred forty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 49 51 55 77 85 105 119 147 165 187 231 245 255 357 383 385 539 561 595 735 833 935 1149 1155 1309 1617 1785 1915 2499 2681 2695 2805 3927 4165 4213 5745 6511 6545 8043 8085 9163 12495 12639 13405 18767 19533 19635 21065 27489 29491 32555 40215 45577 45815 56301 63195 71621 88473 93835 97665 136731 137445 147455 206437 214863 227885 281505 319039 358105 442365 501347 619311 683655 957117 1032185 1074315 1504041 1595195 2506735 3096555 3509429 4785585 7520205 10528287 17547145 52641435