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53877312 = 263419547
BaseRepresentation
bin1100110110000…
…1101001000000
310202101020210000
43031201221000
5102243033222
65202440000
71222643466
oct315415100
9122336700
1053877312
1128459905
1216063000
13b215188
147226836
154ae39ac
hex3361a40

53877312 has 140 divisors (see below), whose sum is σ = 168422320. Its totient is φ = 16982784.

The previous prime is 53877311. The next prime is 53877319. The reversal of 53877312 is 21377835.

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

It is not an unprimeable number, because it can be changed into a prime (53877311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98223 + ... + 98769.

Almost surely, 253877312 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 53877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84211160).

53877312 is an abundant number, since it is smaller than the sum of its proper divisors (114545008).

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

53877312 is a wasteful number, since it uses less digits than its factorization.

53877312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 571 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 53877312 is about 7340.1166203270. The cubic root of 53877312 is about 377.6898438421.

The spelling of 53877312 in words is "fifty-three million, eight hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 547 576 608 648 684 864 912 1026 1094 1216 1296 1368 1539 1641 1728 1824 2052 2188 2592 2736 3078 3282 3648 4104 4376 4923 5184 5472 6156 6564 8208 8752 9846 10393 10944 12312 13128 14769 16416 17504 19692 20786 24624 26256 29538 31179 32832 35008 39384 41572 44307 49248 52512 59076 62358 78768 83144 88614 93537 98496 105024 118152 124716 157536 166288 177228 187074 236304 249432 280611 315072 332576 354456 374148 472608 498864 561222 665152 708912 748296 841833 945216 997728 1122444 1417824 1496592 1683666 1995456 2244888 2835648 2993184 3367332 4489776 5986368 6734664 8979552 13469328 17959104 26938656 53877312