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151878496 = 25711531163
BaseRepresentation
bin10010000110101…
…11101101100000
3101120210020010111
421003113231200
5302340102441
623023141104
73522642310
oct1103275540
9346706114
10151878496
1178805620
1242a44794
1325608c43
1416257440
15d501081
hex90d7b60

151878496 has 96 divisors (see below), whose sum is σ = 380153088. Its totient is φ = 58007040.

The previous prime is 151878491. The next prime is 151878497. The reversal of 151878496 is 694878151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151878491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 130011 + ... + 131173.

It is an arithmetic number, because the mean of its divisors is an integer number (3959928).

Almost surely, 2151878496 is an apocalyptic number.

151878496 is a gapful number since it is divisible by the number (16) 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 151878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190076544).

151878496 is an abundant number, since it is smaller than the sum of its proper divisors (228274592).

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

151878496 is a wasteful number, since it uses less digits than its factorization.

151878496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its digits is 483840, while the sum is 49.

The square root of 151878496 is about 12323.8993829064. The cubic root of 151878496 is about 533.5380894360.

The spelling of 151878496 in words is "one hundred fifty-one million, eight hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 583 616 742 848 1163 1166 1232 1484 1696 2326 2332 2464 2968 4081 4652 4664 5936 8141 8162 9304 9328 11872 12793 16282 16324 18608 18656 25586 32564 32648 37216 51172 61639 65128 65296 89551 102344 123278 130256 130592 179102 204688 246556 260512 358204 409376 431473 493112 678029 716408 862946 986224 1356058 1432816 1725892 1972448 2712116 2865632 3451784 4746203 5424232 6903568 9492406 10848464 13807136 18984812 21696928 37969624 75939248 151878496