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48504672 = 2532179907
BaseRepresentation
bin1011100100000…
…1111101100000
310101021021220100
42321001331200
544404122142
64451342400
71126166016
oct271017540
9111237810
1048504672
112541a307
12142b1a00
13a0838b8
1466288b6
1543d1b4c
hex2e41f60

48504672 has 72 divisors (see below), whose sum is σ = 146063736. Its totient is φ = 15215616.

The previous prime is 48504661. The next prime is 48504691. The reversal of 48504672 is 27640584.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (2028663).

Almost surely, 248504672 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 48504672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73031868).

48504672 is an abundant number, since it is smaller than the sum of its proper divisors (97559064).

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

48504672 is a wasteful number, since it uses less digits than its factorization.

48504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9940 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48504672 is about 6964.5295605662. The cubic root of 48504672 is about 364.6933610277.

The spelling of 48504672 in words is "forty-eight million, five hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 9907 19814 29721 39628 59442 79256 89163 118884 158512 168419 178326 237768 317024 336838 356652 475536 505257 673676 713304 951072 1010514 1347352 1426608 1515771 2021028 2694704 2853216 3031542 4042056 5389408 6063084 8084112 12126168 16168224 24252336 48504672