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48109644 = 223211313919
BaseRepresentation
bin1011011110000…
…1100001001100
310100112020000200
42313201201030
544304002034
64435053500
71122632232
oct267414114
9110466020
1048109644
112517a540
1214141290
139c75b5b
146564952
154354a99
hex2de184c

48109644 has 72 divisors (see below), whose sum is σ = 136980480. Its totient is φ = 14104800.

The previous prime is 48109631. The next prime is 48109673. The reversal of 48109644 is 44690184.

It is a happy number.

48109644 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 9 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48109599 and 48109608.

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, 10317 + ... + 14235.

Almost surely, 248109644 is an apocalyptic number.

48109644 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 48109644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68490240).

48109644 is an abundant number, since it is smaller than the sum of its proper divisors (88870836).

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

48109644 is a wasteful number, since it uses less digits than its factorization.

48109644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48109644 is about 6936.1115907978. Note that the first 3 decimals coincide. The cubic root of 48109644 is about 363.7006253173.

The spelling of 48109644 in words is "forty-eight million, one hundred nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 3919 4092 6138 7838 11757 12276 15676 23514 35271 43109 47028 70542 86218 121489 129327 141084 172436 242978 258654 364467 387981 485956 517308 728934 775962 1093401 1336379 1457868 1551924 2186802 2672758 4009137 4373604 5345516 8018274 12027411 16036548 24054822 48109644