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157445232 = 2437373131
BaseRepresentation
bin10010110001001…
…10110001110000
3101222021001020220
421120212301300
5310301221412
623342333040
73621156000
oct1130466160
9358231226
10157445232
1180967a2a
124488a180
1326807979
1416ca6000
15dc5068c
hex9626c70

157445232 has 160 divisors (see below), whose sum is σ = 484492800. Its totient is φ = 44029440.

The previous prime is 157445219. The next prime is 157445237. The reversal of 157445232 is 232544751.

It is a junction number, because it is equal to n+sod(n) for n = 157445193 and 157445202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157445237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201807 + ... + 1201937.

It is an arithmetic number, because the mean of its divisors is an integer number (3028080).

Almost surely, 2157445232 is an apocalyptic number.

157445232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157445232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242246400).

157445232 is an abundant number, since it is smaller than the sum of its proper divisors (327047568).

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

157445232 is a wasteful number, since it uses less digits than its factorization.

157445232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 157445232 is about 12547.7181989396. The cubic root of 157445232 is about 539.9785451009.

Adding to 157445232 its reverse (232544751), we get a palindrome (389989983).

The spelling of 157445232 in words is "one hundred fifty-seven million, four hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 73 84 98 112 131 146 147 168 196 219 262 292 294 336 343 392 393 438 511 524 584 588 686 784 786 876 917 1022 1029 1048 1168 1176 1372 1533 1572 1752 1834 2044 2058 2096 2352 2744 2751 3066 3144 3504 3577 3668 4088 4116 5488 5502 6132 6288 6419 7154 7336 8176 8232 9563 10731 11004 12264 12838 14308 14672 16464 19126 19257 21462 22008 24528 25039 25676 28616 28689 38252 38514 42924 44016 44933 50078 51352 57232 57378 66941 75117 76504 77028 85848 89866 100156 102704 114756 133882 134799 150234 153008 154056 171696 179732 200312 200823 229512 267764 269598 300468 308112 359464 400624 401646 459024 468587 535528 539196 600936 718928 803292 937174 1071056 1078392 1201872 1405761 1606584 1874348 2156784 2811522 3213168 3280109 3748696 5623044 6560218 7497392 9840327 11246088 13120436 19680654 22492176 26240872 39361308 52481744 78722616 157445232