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54950720 = 2651167233
BaseRepresentation
bin1101000110011…
…1101101000000
310211101210012212
43101213231000
5103031410340
65241441252
71235034116
oct321475500
9124353185
1054950720
1129022320
12164a0228
13b4cc926
147425ab6
154c56a65
hex3467b40

54950720 has 112 divisors (see below), whose sum is σ = 145499328. Its totient is φ = 19599360.

The previous prime is 54950719. The next prime is 54950729. The reversal of 54950720 is 2705945.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54950729) 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, 235724 + ... + 235956.

Almost surely, 254950720 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 54950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72749664).

54950720 is an abundant number, since it is smaller than the sum of its proper divisors (90548608).

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

54950720 is a wasteful number, since it uses less digits than its factorization.

54950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 54950720 is about 7412.8752856095. The cubic root of 54950720 is about 380.1816306227.

The spelling of 54950720 in words is "fifty-four million, nine hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 134 160 176 220 233 268 320 335 352 440 466 536 670 704 737 880 932 1072 1165 1340 1474 1760 1864 2144 2330 2563 2680 2948 3520 3685 3728 4288 4660 5126 5360 5896 7370 7456 9320 10252 10720 11792 12815 14740 14912 15611 18640 20504 21440 23584 25630 29480 31222 37280 41008 47168 51260 58960 62444 74560 78055 82016 102520 117920 124888 156110 164032 171721 205040 235840 249776 312220 343442 410080 499552 624440 686884 820160 858605 999104 1248880 1373768 1717210 2497760 2747536 3434420 4995520 5495072 6868840 10990144 13737680 27475360 54950720