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48614496 = 253773991
BaseRepresentation
bin1011100101110…
…0110001100000
310101110212112220
42321130301200
544421130441
64453551040
71130134140
oct271346140
9111425486
1048614496
1125494877
1214345480
13a0c1898
146656920
154404466
hex2e5cc60

48614496 has 96 divisors (see below), whose sum is σ = 147990528. Its totient is φ = 13685760.

The previous prime is 48614471. The next prime is 48614507. The reversal of 48614496 is 69441684.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48561 + ... + 49551.

It is an arithmetic number, because the mean of its divisors is an integer number (1541568).

Almost surely, 248614496 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 48614496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73995264).

48614496 is an abundant number, since it is smaller than the sum of its proper divisors (99376032).

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

48614496 is a wasteful number, since it uses less digits than its factorization.

48614496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 48614496 is about 6972.4096265208. The cubic root of 48614496 is about 364.9683990906.

The spelling of 48614496 in words is "forty-eight million, six hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 991 1022 1168 1533 1752 1982 2044 2336 2973 3066 3504 3964 4088 5946 6132 6937 7008 7928 8176 11892 12264 13874 15856 16352 20811 23784 24528 27748 31712 41622 47568 49056 55496 72343 83244 95136 110992 144686 166488 217029 221984 289372 332976 434058 506401 578744 665952 868116 1012802 1157488 1519203 1736232 2025604 2314976 3038406 3472464 4051208 6076812 6944928 8102416 12153624 16204832 24307248 48614496