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149295552 = 263732267
BaseRepresentation
bin10001110011000…
…01000111000000
3101101220222222220
420321201013000
5301204424202
622451531040
73461664000
oct1071410700
9341828886
10149295552
1177300a5a
1241bb9a80
1324c13383
1415b84000
15d190abc
hex8e611c0

149295552 has 112 divisors (see below), whose sum is σ = 460857600. Its totient is φ = 42637056.

The previous prime is 149295533. The next prime is 149295583. The reversal of 149295552 is 255592941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 64723 + ... + 66989.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2149295552 is an apocalyptic number.

149295552 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 149295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

149295552 is an abundant number, since it is smaller than the sum of its proper divisors (311562048).

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

149295552 is an equidigital number, since it uses as much as digits as its factorization.

149295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2279 counting only the distinct ones).

The product of its digits is 162000, while the sum is 42.

The square root of 149295552 is about 12218.6558998934. The cubic root of 149295552 is about 530.4962149913.

The spelling of 149295552 in words is "one hundred forty-nine million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2267 2352 2744 3136 4116 4534 4704 5488 6801 8232 9068 9408 10976 13602 15869 16464 18136 21952 27204 31738 32928 36272 47607 54408 63476 65856 72544 95214 108816 111083 126952 145088 190428 217632 222166 253904 333249 380856 435264 444332 507808 666498 761712 777581 888664 1015616 1332996 1523424 1555162 1777328 2332743 2665992 3046848 3110324 3554656 4665486 5331984 6220648 7109312 9330972 10663968 12441296 18661944 21327936 24882592 37323888 49765184 74647776 149295552