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26542152 = 23327134051
BaseRepresentation
bin110010101000…
…0000001001000
31211221110222200
41211100001020
523243322102
62344520200
7441414240
oct145200110
954843880
1026542152
1113a8956a
128a80060
135664120
14374cb20
1524e451c
hex1950048

26542152 has 96 divisors (see below), whose sum is σ = 88495680. Its totient is φ = 6998400.

The previous prime is 26542141. The next prime is 26542181. The reversal of 26542152 is 25124562.

26542152 is a `hidden beast` number, since 2 + 654 + 2 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×265421522 = 1408971665582208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4527 + ... + 8577.

It is an arithmetic number, because the mean of its divisors is an integer number (921830).

Almost surely, 226542152 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 26542152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44247840).

26542152 is an abundant number, since it is smaller than the sum of its proper divisors (61953528).

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

26542152 is a wasteful number, since it uses less digits than its factorization.

26542152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4076 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 26542152 is about 5151.9076078672. The cubic root of 26542152 is about 298.2945902964.

The spelling of 26542152 in words is "twenty-six million, five hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 4051 6552 8102 12153 16204 24306 28357 32408 36459 48612 52663 56714 72918 85071 97224 105326 113428 145836 157989 170142 210652 226856 255213 291672 315978 340284 368641 421304 473967 510426 631956 680568 737282 947934 1020852 1105923 1263912 1474564 1895868 2041704 2211846 2949128 3317769 3791736 4423692 6635538 8847384 13271076 26542152