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48900984 = 23311199749
BaseRepresentation
bin1011101010001…
…0101101111000
310102000102112120
42322202231320
5100004312414
64504041240
71132436316
oct272425570
9112012476
1048900984
1125670040
1214463220
13a1920c2
1466cd0b6
15445e2a9
hex2ea2b78

48900984 has 64 divisors (see below), whose sum is σ = 140400000. Its totient is φ = 14037120.

The previous prime is 48900983. The next prime is 48900991.

48900984 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48900983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142 + ... + 9890.

It is an arithmetic number, because the mean of its divisors is an integer number (2193750).

Almost surely, 248900984 is an apocalyptic number.

48900984 is a gapful number since it is divisible by the number (44) 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 48900984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200000).

48900984 is an abundant number, since it is smaller than the sum of its proper divisors (91499016).

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

48900984 is a wasteful number, since it uses less digits than its factorization.

48900984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 48900984 is about 6992.9238520093. The cubic root of 48900984 is about 365.6839219234.

The spelling of 48900984 in words is "forty-eight million, nine hundred thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 9749 19498 29247 38996 58494 77992 107239 116988 185231 214478 233976 321717 370462 428956 555693 643434 740924 857912 1111386 1286868 1481848 2037541 2222772 2573736 4075082 4445544 6112623 8150164 12225246 16300328 24450492 48900984