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149956464 = 24372103619
BaseRepresentation
bin10001111000000…
…10011101110000
3101110011120121010
420330002131300
5301342101324
622514030520
73500415600
oct1074023560
9343146533
10149956464
1177712569
1242278440
13250b5148
1415cb6c00
15d271829
hex8f02770

149956464 has 120 divisors (see below), whose sum is σ = 455744640. Its totient is φ = 42360192.

The previous prime is 149956459. The next prime is 149956529. The reversal of 149956464 is 464659941.

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 23 ways as a sum of consecutive naturals, for example, 241947 + ... + 242565.

It is an arithmetic number, because the mean of its divisors is an integer number (3797872).

Almost surely, 2149956464 is an apocalyptic number.

149956464 is a gapful number since it is divisible by the number (14) 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 149956464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227872320).

149956464 is an abundant number, since it is smaller than the sum of its proper divisors (305788176).

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

149956464 is a wasteful number, since it uses less digits than its factorization.

149956464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 149956464 is about 12245.6712351753. The cubic root of 149956464 is about 531.2778752801.

The spelling of 149956464 in words is "one hundred forty-nine million, nine hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 103 112 147 168 196 206 294 309 336 392 412 588 618 619 721 784 824 1176 1236 1238 1442 1648 1857 2163 2352 2472 2476 2884 3714 4326 4333 4944 4952 5047 5768 7428 8652 8666 9904 10094 11536 12999 14856 15141 17304 17332 20188 25998 29712 30282 30331 34608 34664 40376 51996 60564 60662 63757 69328 80752 90993 103992 121128 121324 127514 181986 191271 207984 242256 242648 255028 363972 382542 446299 485296 510056 727944 765084 892598 1020112 1338897 1455888 1530168 1785196 2677794 3060336 3124093 3570392 5355588 6248186 7140784 9372279 10711176 12496372 18744558 21422352 24992744 37489116 49985488 74978232 149956464