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151352850 = 235211231269
BaseRepresentation
bin10010000010101…
…11011000010010
3101112210112002010
421001113120102
5302221242400
623004003350
73515322645
oct1101273022
9345715063
10151352850
1178486700
1242830556
13254838cc
141615ba5c
15d44a450
hex9057612

151352850 has 144 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 35376000.

The previous prime is 151352849. The next prime is 151352897. The reversal of 151352850 is 58253151.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 71 ways as a sum of consecutive naturals, for example, 562516 + ... + 562784.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2151352850 is an apocalyptic number.

151352850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151352850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

151352850 is an abundant number, since it is smaller than the sum of its proper divisors (276119790).

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

151352850 is a wasteful number, since it uses less digits than its factorization.

151352850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 151352850 is about 12302.5546127623. The cubic root of 151352850 is about 532.9218592730.

The spelling of 151352850 in words is "one hundred fifty-one million, three hundred fifty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 121 150 155 165 186 242 269 275 310 330 341 363 465 538 550 605 682 726 775 807 825 930 1023 1210 1345 1550 1614 1650 1705 1815 2046 2325 2690 2959 3025 3410 3630 3751 4035 4650 5115 5918 6050 6725 7502 8070 8339 8525 8877 9075 10230 11253 13450 14795 16678 17050 17754 18150 18755 20175 22506 25017 25575 29590 32549 37510 40350 41695 44385 50034 51150 56265 65098 73975 83390 88770 91729 93775 97647 112530 125085 147950 162745 183458 187550 195294 208475 221925 250170 275187 281325 325490 416950 443850 458645 488235 550374 562650 625425 813725 917290 976470 1009019 1250850 1375935 1627450 2018038 2293225 2441175 2751870 3027057 4586450 4882350 5045095 6054114 6879675 10090190 13759350 15135285 25225475 30270570 50450950 75676425 151352850