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157464216 = 23337138011
BaseRepresentation
bin10010110001010…
…11011010011000
3101222022000022000
421120223122120
5310302323331
623343001000
73621265230
oct1130533230
9358260260
10157464216
1180980218
1244899160
13268134c0
1416caccc0
15dc560e6
hex962b698

157464216 has 128 divisors (see below), whose sum is σ = 538406400. Its totient is φ = 41523840.

The previous prime is 157464211. The next prime is 157464239. The reversal of 157464216 is 612464751.

157464216 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 642 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157464211) 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 31 ways as a sum of consecutive naturals, for example, 15651 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (4206300).

Almost surely, 2157464216 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 157464216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269203200).

157464216 is an abundant number, since it is smaller than the sum of its proper divisors (380942184).

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

157464216 is a wasteful number, since it uses less digits than its factorization.

157464216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8036 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 157464216 is about 12548.4746483387. The cubic root of 157464216 is about 540.0002469135. Note that the first 3 decimals are identical.

It can be divided in two parts, 157464 and 216, that multiplied together give a 6-th power (34012224 = 186).

The spelling of 157464216 in words is "one hundred fifty-seven million, four hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 8011 9828 16022 19656 24033 32044 48066 56077 64088 72099 96132 104143 112154 144198 168231 192264 208286 216297 224308 288396 312429 336462 416572 432594 448616 504693 576792 624858 672924 729001 833144 865188 937287 1009386 1249716 1345848 1458002 1514079 1730376 1874574 2018772 2187003 2499432 2811861 2916004 3028158 3749148 4037544 4374006 5623722 5832008 6056316 6561009 7498296 8748012 11247444 12112632 13122018 17496024 19683027 22494888 26244036 39366054 52488072 78732108 157464216