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149373972 = 2232111919853
BaseRepresentation
bin10001110011101…
…00010000010100
3101102001222120100
420321310100110
5301214431342
622453334100
73462441426
oct1071642024
9342058510
10149373972
1177354970
1242037330
1324c3cc87
1415ba4816
15d1a8e4c
hex8e74414

149373972 has 72 divisors (see below), whose sum is σ = 433611360. Its totient is φ = 42880320.

The previous prime is 149373907. The next prime is 149373997. The reversal of 149373972 is 279373941.

149373972 is a `hidden beast` number, since 1 + 493 + 73 + 97 + 2 = 666.

It is a super-2 number, since 2×1493739722 = 44625167022113568, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2403 + ... + 17450.

It is an arithmetic number, because the mean of its divisors is an integer number (6022380).

Almost surely, 2149373972 is an apocalyptic number.

149373972 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 149373972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216805680).

149373972 is an abundant number, since it is smaller than the sum of its proper divisors (284237388).

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

149373972 is a wasteful number, since it uses less digits than its factorization.

149373972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19893 (or 19888 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 149373972 is about 12221.8645058763. The cubic root of 149373972 is about 530.5890827533.

The spelling of 149373972 in words is "one hundred forty-nine million, three hundred seventy-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 19853 39706 59559 79412 119118 178677 218383 238236 357354 377207 436766 655149 714708 754414 873532 1131621 1310298 1508828 1965447 2263242 2620596 3394863 3930894 4149277 4526484 6789726 7861788 8298554 12447831 13579452 16597108 24895662 37343493 49791324 74686986 149373972