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48931632 = 2432373911
BaseRepresentation
bin1011101010101…
…0001100110000
310102001222120200
42322222030300
5100011303012
64504435200
71132624551
oct272521460
9112058520
1048931632
1125691072
1214478b00
13a1a3039
1466da328
1544683dc
hex2eaa330

48931632 has 60 divisors (see below), whose sum is σ = 137458464. Its totient is φ = 16248960.

The previous prime is 48931607. The next prime is 48931633. The reversal of 48931632 is 23613984.

It is a super-2 number, since 2×489316322 = 4788609220366848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48931633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53257 + ... + 54167.

Almost surely, 248931632 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 48931632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68729232).

48931632 is an abundant number, since it is smaller than the sum of its proper divisors (88526832).

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

48931632 is a wasteful number, since it uses less digits than its factorization.

48931632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 48931632 is about 6995.1148668196. The cubic root of 48931632 is about 365.7603017107.

The spelling of 48931632 in words is "forty-eight million, nine hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 911 1119 1492 1822 2238 2733 2984 3357 3644 4476 5466 5968 6714 7288 8199 8952 10932 13428 14576 16398 17904 21864 26856 32796 43728 53712 65592 131184 339803 679606 1019409 1359212 2038818 2718424 3058227 4077636 5436848 6116454 8155272 12232908 16310544 24465816 48931632