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53764074 = 2347213521
BaseRepresentation
bin1100110100010…
…1111111101010
310202011111110000
43031011333222
5102230422244
65200203430
71221662400
oct315057752
9122144400
1053764074
1128391821
1216009576
13b1a5780
1471d7470
154ac0169
hex3345fea

53764074 has 120 divisors (see below), whose sum is σ = 151209828. Its totient is φ = 14152320.

The previous prime is 53764069. The next prime is 53764153. The reversal of 53764074 is 47046735.

53764074 is a `hidden beast` number, since 5 + 3 + 7 + 640 + 7 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48902049 + 4862025 = 6993^2 + 2205^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102934 + ... + 103454.

Almost surely, 253764074 is an apocalyptic number.

53764074 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53764074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75604914).

53764074 is an abundant number, since it is smaller than the sum of its proper divisors (97445754).

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

53764074 is a wasteful number, since it uses less digits than its factorization.

53764074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 53764074 is about 7332.3989253177. The cubic root of 53764074 is about 377.4250518578.

The spelling of 53764074 in words is "fifty-three million, seven hundred sixty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 521 546 567 637 702 819 882 1042 1053 1134 1274 1323 1563 1638 1911 2106 2457 2646 3126 3647 3822 3969 4689 4914 5733 6773 7294 7371 7938 9378 10941 11466 13546 14067 14742 17199 20319 21882 25529 28134 32823 34398 40638 42201 47411 51058 51597 60957 65646 76587 84402 94822 98469 103194 121914 142233 153174 182871 196938 229761 284466 295407 331877 365742 426699 459522 548613 590814 663754 689283 853398 995631 1097226 1280097 1378566 1991262 2067849 2560194 2986893 3840291 4135698 5973786 7680582 8960679 17921358 26882037 53764074