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149618496 = 26317231993
BaseRepresentation
bin10001110101011…
…11111101000000
3101102112101222210
420322233331000
5301300242441
622502502120
73464510346
oct1072577500
9342471883
10149618496
1177501655
1242134940
1324cc7371
1415c29996
15d206616
hex8eaff40

149618496 has 112 divisors (see below), whose sum is σ = 437595264. Its totient is φ = 44875776.

The previous prime is 149618449. The next prime is 149618507. The reversal of 149618496 is 694816941.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 74076 + ... + 76068.

Almost surely, 2149618496 is an apocalyptic number.

149618496 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 149618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218797632).

149618496 is an abundant number, since it is smaller than the sum of its proper divisors (287976768).

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

149618496 is a wasteful number, since it uses less digits than its factorization.

149618496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2038 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 149618496 is about 12231.8639626183. The cubic root of 149618496 is about 530.8784482789.

The spelling of 149618496 in words is "one hundred forty-nine million, six hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 1993 2208 2346 3128 3264 3986 4416 4692 5979 6256 7972 9384 11958 12512 15944 18768 23916 25024 31888 33881 37536 45839 47832 63776 67762 75072 91678 95664 101643 127552 135524 137517 183356 191328 203286 271048 275034 366712 382656 406572 542096 550068 733424 779263 813144 1084192 1100136 1466848 1558526 1626288 2168384 2200272 2337789 2933696 3117052 3252576 4400544 4675578 6234104 6505152 8801088 9351156 12468208 18702312 24936416 37404624 49872832 74809248 149618496