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54761472 = 211322971
BaseRepresentation
bin1101000011100…
…1100000000000
310211001011121200
43100321200000
5103004331342
65233421200
71233315303
oct320714000
9124034550
1054761472
1128a03117
121640a800
13b46474c
1473b6b3a
154c1a94c
hex3439800

54761472 has 72 divisors (see below), whose sum is σ = 158214420. Its totient is φ = 18247680.

The previous prime is 54761467. The next prime is 54761479. The reversal of 54761472 is 27416745.

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 an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54761479) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16947 + ... + 19917.

Almost surely, 254761472 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 54761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79107210).

54761472 is an abundant number, since it is smaller than the sum of its proper divisors (103452948).

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

54761472 is a wasteful number, since it uses less digits than its factorization.

54761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2976 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 54761472 is about 7400.0994587911. The cubic root of 54761472 is about 379.7446853765.

The spelling of 54761472 in words is "fifty-four million, seven hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2971 3072 4608 5942 6144 8913 9216 11884 17826 18432 23768 26739 35652 47536 53478 71304 95072 106956 142608 190144 213912 285216 380288 427824 570432 760576 855648 1140864 1521152 1711296 2281728 3042304 3422592 4563456 6084608 6845184 9126912 13690368 18253824 27380736 54761472