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48850464 = 2531323011
BaseRepresentation
bin1011101001011…
…0011000100000
310101220212020110
42322112120200
5100001203324
64503011320
71132136115
oct272263040
9111825213
1048850464
1125636093
1214439b40
13a175100
1466b890c
15444e329
hex2e96620

48850464 has 72 divisors (see below), whose sum is σ = 138901392. Its totient is φ = 15025920.

The previous prime is 48850433. The next prime is 48850481. The reversal of 48850464 is 46405884.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 11 ways as a sum of consecutive naturals, for example, 14719 + ... + 17729.

It is an arithmetic number, because the mean of its divisors is an integer number (1929186).

Almost surely, 248850464 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 48850464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69450696).

48850464 is an abundant number, since it is smaller than the sum of its proper divisors (90050928).

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

48850464 is a wasteful number, since it uses less digits than its factorization.

48850464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 48850464 is about 6989.3106956266. The cubic root of 48850464 is about 365.5579481980.

The spelling of 48850464 in words is "forty-eight million, eight hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 3011 4056 5408 6022 8112 9033 12044 16224 18066 24088 36132 39143 48176 72264 78286 96352 117429 144528 156572 234858 289056 313144 469716 508859 626288 939432 1017718 1252576 1526577 1878864 2035436 3053154 3757728 4070872 6106308 8141744 12212616 16283488 24425232 48850464