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151551312 = 243113147197
BaseRepresentation
bin10010000100001…
…11110101010000
3101120011121022120
421002013311100
5302244120222
623012134240
73520110363
oct1102076520
9346147276
10151551312
1178601820
1242907380
1325523043
14161b00da
15d48915c
hex9087d50

151551312 has 160 divisors (see below), whose sum is σ = 452542464. Its totient is φ = 43276800.

The previous prime is 151551229. The next prime is 151551341. The reversal of 151551312 is 213155151.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 769198 + ... + 769394.

Almost surely, 2151551312 is an apocalyptic number.

151551312 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 151551312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271232).

151551312 is an abundant number, since it is smaller than the sum of its proper divisors (300991152).

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

151551312 is a wasteful number, since it uses less digits than its factorization.

151551312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its digits is 750, while the sum is 24.

The square root of 151551312 is about 12310.6178561435. The cubic root of 151551312 is about 533.1546894742.

The spelling of 151551312 in words is "one hundred fifty-one million, five hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 47 48 62 66 88 93 94 124 132 141 176 186 188 197 248 264 282 341 372 376 394 496 517 528 564 591 682 744 752 788 1023 1034 1128 1182 1364 1457 1488 1551 1576 2046 2068 2167 2256 2364 2728 2914 3102 3152 4092 4136 4334 4371 4728 5456 5828 6107 6204 6501 8184 8272 8668 8742 9259 9456 11656 12214 12408 13002 16027 16368 17336 17484 18321 18518 23312 24428 24816 26004 27777 32054 34672 34968 36642 37036 48081 48856 52008 55554 64108 67177 69936 73284 74072 96162 97712 101849 104016 111108 128216 134354 146568 148144 192324 201531 203698 222216 256432 268708 287029 293136 305547 384648 403062 407396 444432 537416 574058 611094 769296 806124 814792 861087 1074832 1148116 1222188 1612248 1629584 1722174 2296232 2444376 3157319 3224496 3444348 4592464 4888752 6314638 6888696 9471957 12629276 13777392 18943914 25258552 37887828 50517104 75775656 151551312