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54950592 = 2632971139
BaseRepresentation
bin1101000110011…
…1101011000000
310211101210001010
43101213223000
5103031404332
65241440520
71235033544
oct321475300
9124353033
1054950592
1129022214
12164a0140
13b4cc858
147425a24
154c569cc
hex3467ac0

54950592 has 112 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 17310720.

The previous prime is 54950591. The next prime is 54950627. The reversal of 54950592 is 29505945.

It is a super-2 number, since 2×549505922 = 6039135122300928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54950592.

It is not an unprimeable number, because it can be changed into a prime (54950591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395259 + ... + 395397.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 254950592 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 54950592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

54950592 is an abundant number, since it is smaller than the sum of its proper divisors (98668608).

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

54950592 is a wasteful number, since it uses less digits than its factorization.

54950592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 54950592 is about 7412.8666519775. The cubic root of 54950592 is about 380.1813354292.

The spelling of 54950592 in words is "fifty-four million, nine hundred fifty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 71 87 96 116 139 142 174 192 213 232 278 284 348 417 426 464 556 568 696 834 852 928 1112 1136 1392 1668 1704 1856 2059 2224 2272 2784 3336 3408 4031 4118 4448 4544 5568 6177 6672 6816 8062 8236 8896 9869 12093 12354 13344 13632 16124 16472 19738 24186 24708 26688 29607 32248 32944 39476 48372 49416 59214 64496 65888 78952 96744 98832 118428 128992 131776 157904 193488 197664 236856 257984 286201 315808 386976 395328 473712 572402 631616 773952 858603 947424 1144804 1717206 1894848 2289608 3434412 4579216 6868824 9158432 13737648 18316864 27475296 54950592