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49942152 = 233213229233
BaseRepresentation
bin1011111010000…
…0111010001000
310110222022202100
42332200322020
5100241122102
64542233400
71144333641
oct276407210
9113868670
1049942152
1126211307
1214885860
13a467c90
1468c06c8
1545b7a1c
hex2fa0e88

49942152 has 96 divisors (see below), whose sum is σ = 146928600. Its totient is φ = 15234048.

The previous prime is 49942133. The next prime is 49942163. The reversal of 49942152 is 25124994.

It can be written as a sum of positive squares in 4 ways, for example, as 39012516 + 10929636 = 6246^2 + 3306^2 .

It is a super-2 number, since 2×499421522 = 4988437092782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime divisors (480).

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, 214228 + ... + 214460.

Almost surely, 249942152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49942152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73464300).

49942152 is an abundant number, since it is smaller than the sum of its proper divisors (96986448).

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

49942152 is a wasteful number, since it uses less digits than its factorization.

49942152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 49942152 is about 7066.9761567448. The cubic root of 49942152 is about 368.2610191340.

The spelling of 49942152 in words is "forty-nine million, nine hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 229 233 234 312 458 466 468 687 699 916 932 936 1374 1398 1832 1864 2061 2097 2748 2796 2977 3029 4122 4194 5496 5592 5954 6058 8244 8388 8931 9087 11908 12116 16488 16776 17862 18174 23816 24232 26793 27261 35724 36348 53357 53586 54522 71448 72696 106714 107172 109044 160071 213428 214344 218088 320142 426856 480213 640284 693641 960426 1280568 1387282 1920852 2080923 2774564 3841704 4161846 5549128 6242769 8323692 12485538 16647384 24971076 49942152