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54513072 = 2432834561
BaseRepresentation
bin1100111111110…
…0110110110000
310210120112212200
43033330312300
5102423404242
65224223200
71231232145
oct317746660
9123515780
1054513072
1128853529
121630ab00
13b3a8673
1473503cc
154bbc04c
hex33fcdb0

54513072 has 60 divisors (see below), whose sum is σ = 154432824. Its totient is φ = 17948160.

The previous prime is 54513061. The next prime is 54513083. The reversal of 54513072 is 27031545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54513061) and next prime (54513083).

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, 9672 + ... + 14232.

Almost surely, 254513072 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 54513072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77216412).

54513072 is an abundant number, since it is smaller than the sum of its proper divisors (99919752).

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

54513072 is a wasteful number, since it uses less digits than its factorization.

54513072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 54513072 is about 7383.2968245899. The cubic root of 54513072 is about 379.1696365155.

The spelling of 54513072 in words is "fifty-four million, five hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 4561 5976 9122 11952 13683 18244 27366 36488 41049 54732 72976 82098 109464 164196 218928 328392 378563 656784 757126 1135689 1514252 2271378 3028504 3407067 4542756 6057008 6814134 9085512 13628268 18171024 27256536 54513072