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542157552 = 243219296833
BaseRepresentation
bin100000010100001…
…010101011110000
31101210011110100100
4200110022223300
52102243020202
6125444152400
716302156156
oct4024125360
91353143310
10542157552
11259040aa2
12131698700
13884259b1
145200b3d6
15328e441c
hex2050aaf0

542157552 has 120 divisors (see below), whose sum is σ = 1652461200. Its totient is φ = 165279744.

The previous prime is 542157547. The next prime is 542157601. The reversal of 542157552 is 255751245.

542157552 is a `hidden beast` number, since 54 + 2 + 1 + 57 + 552 = 666.

It is a super-2 number, since 2×5421575522 = 587869622381265408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75928 + ... + 82760.

It is an arithmetic number, because the mean of its divisors is an integer number (13770510).

Almost surely, 2542157552 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 542157552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826230600).

542157552 is an abundant number, since it is smaller than the sum of its proper divisors (1110303648).

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

542157552 is a wasteful number, since it uses less digits than its factorization.

542157552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895 (or 6886 counting only the distinct ones).

The product of its digits is 70000, while the sum is 36.

The square root of 542157552 is about 23284.2769267160. The cubic root of 542157552 is about 815.4083802769.

The spelling of 542157552 in words is "five hundred forty-two million, one hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 6833 8816 9918 13224 13666 19836 20499 26448 27332 39672 40998 54664 61497 79344 81996 109328 122994 129827 163992 198157 245988 259654 327984 389481 396314 491976 519308 594471 778962 792628 983952 1038616 1168443 1188942 1557924 1585256 1783413 2077232 2336886 2377884 3115848 3170512 3566826 3764983 4673772 4755768 6231696 7133652 7529966 9347544 9511536 11294949 14267304 15059932 18695088 22589898 28534608 30119864 33884847 45179796 60239728 67769694 90359592 135539388 180719184 271078776 542157552