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52146402 = 23711231331
BaseRepresentation
bin1100011011101…
…1000011100010
310122010022102020
43012323003202
5101322141102
65101402310
71202144220
oct306730342
9118108366
1052146402
1127487400
1215569396
13aa5a379
146cd5b10
1548a0bbc
hex31bb0e2

52146402 has 96 divisors (see below), whose sum is σ = 135647232. Its totient is φ = 13068000.

The previous prime is 52146397. The next prime is 52146403. The reversal of 52146402 is 20464125.

52146402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52146403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157377 + ... + 157707.

It is an arithmetic number, because the mean of its divisors is an integer number (1412992).

Almost surely, 252146402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52146402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67823616).

52146402 is an abundant number, since it is smaller than the sum of its proper divisors (83500830).

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

52146402 is a wasteful number, since it uses less digits than its factorization.

52146402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 52146402 is about 7221.2465682872. The cubic root of 52146402 is about 373.6010740615.

The spelling of 52146402 in words is "fifty-two million, one hundred forty-six thousand, four hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 154 186 217 231 242 331 341 363 434 462 651 662 682 726 847 993 1023 1302 1694 1986 2046 2317 2387 2541 3641 3751 4634 4774 5082 6951 7161 7282 7502 10261 10923 11253 13902 14322 20522 21846 22506 25487 26257 30783 40051 50974 52514 61566 71827 76461 78771 80102 112871 120153 143654 152922 157542 215481 225742 240306 280357 338613 430962 560714 677226 790097 841071 1241581 1580194 1682142 2370291 2483162 3724743 4740582 7449486 8691067 17382134 26073201 52146402