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156968448 = 2937131123
BaseRepresentation
bin10010101101100…
…10011000000000
3101221100211020020
421112302120000
5310140442243
623324213440
73614131650
oct1126623000
9357324206
10156968448
118067179a
124469a280
132669b950
1416bc0360
15dba9283
hex95b2600

156968448 has 160 divisors (see below), whose sum is σ = 515133696. Its totient is φ = 41361408.

The previous prime is 156968437. The next prime is 156968453. The reversal of 156968448 is 844869651.

It is a self number, because there is not a number n which added to its sum of digits gives 156968448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139215 + ... + 140337.

Almost surely, 2156968448 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 156968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257566848).

156968448 is an abundant number, since it is smaller than the sum of its proper divisors (358165248).

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

156968448 is a wasteful number, since it uses less digits than its factorization.

156968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 156968448 is about 12528.7049610085. The cubic root of 156968448 is about 539.4329300889.

The spelling of 156968448 in words is "one hundred fifty-six million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1123 1248 1344 1456 1536 1664 1792 2184 2246 2496 2688 2912 3328 3369 3584 4368 4492 4992 5376 5824 6656 6738 7861 8736 8984 9984 10752 11648 13476 14599 15722 17472 17968 19968 23296 23583 26952 29198 31444 34944 35936 43797 46592 47166 53904 58396 62888 69888 71872 87594 94332 102193 107808 116792 125776 139776 143744 175188 188664 204386 215616 233584 251552 287488 306579 350376 377328 408772 431232 467168 503104 574976 613158 700752 754656 817544 862464 934336 1006208 1226316 1401504 1509312 1635088 1724928 1868672 2012416 2452632 2803008 3018624 3270176 3737344 4024832 4905264 5606016 6037248 6540352 7474688 9810528 11212032 12074496 13080704 19621056 22424064 26161408 39242112 52322816 78484224 156968448