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157699476 = 2232113747229
BaseRepresentation
bin10010110011001…
…00110110010100
3101222201222000100
421121210312110
5310332340401
623352014100
73623265144
oct1131446624
9358658010
10157699476
1181020a50
1244991330
13268965cc
1416d30924
15dca0b86
hex9664d94

157699476 has 144 divisors (see below), whose sum is σ = 458115840. Its totient is φ = 45308160.

The previous prime is 157699459. The next prime is 157699483. The reversal of 157699476 is 674996751.

157699476 is a `hidden beast` number, since 15 + 76 + 99 + 476 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 688530 + ... + 688758.

It is an arithmetic number, because the mean of its divisors is an integer number (3181360).

Almost surely, 2157699476 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 157699476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229057920).

157699476 is an abundant number, since it is smaller than the sum of its proper divisors (300416364).

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

157699476 is a wasteful number, since it uses less digits than its factorization.

157699476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 157699476 is about 12557.8451973259. The cubic root of 157699476 is about 540.2690428879.

The spelling of 157699476 in words is "one hundred fifty-seven million, six hundred ninety-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 47 66 74 94 99 111 132 141 148 188 198 222 229 282 333 396 407 423 444 458 517 564 666 687 814 846 916 1034 1221 1332 1374 1551 1628 1692 1739 2061 2068 2442 2519 2748 3102 3478 3663 4122 4653 4884 5038 5217 6204 6956 7326 7557 8244 8473 9306 10076 10434 10763 14652 15114 15651 16946 18612 19129 20868 21526 22671 25419 30228 31302 32289 33892 38258 43052 45342 50838 57387 62604 64578 76257 76516 90684 93203 96867 101676 114774 118393 129156 152514 172161 186406 193734 229548 236786 279609 305028 344322 355179 372812 387468 398231 473572 559218 688644 710358 796462 838827 1065537 1118436 1194693 1420716 1592924 1677654 2131074 2389386 3355308 3584079 4262148 4380541 4778772 7168158 8761082 13141623 14336316 17522164 26283246 39424869 52566492 78849738 157699476