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55719648 = 253231792
BaseRepresentation
bin1101010010001…
…1011011100000
310212211211222200
43110203123200
5103231012043
65310133200
71244415645
oct324433340
9125754880
1055719648
11294a7aa6
12167b1200
13b70b90a
147585dcc
154d597d3
hex35236e0

55719648 has 108 divisors (see below), whose sum is σ = 165660768. Its totient is φ = 17746560.

The previous prime is 55719641. The next prime is 55719649. The reversal of 55719648 is 84691755.

55719648 is a `hidden beast` number, since 557 + 1 + 96 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55719641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 705273 + ... + 705351.

It is an arithmetic number, because the mean of its divisors is an integer number (1533896).

Almost surely, 255719648 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 55719648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82830384).

55719648 is an abundant number, since it is smaller than the sum of its proper divisors (109941120).

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

55719648 is a wasteful number, since it uses less digits than its factorization.

55719648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 115 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 55719648 is about 7464.5594645632. The cubic root of 55719648 is about 381.9467228312.

The spelling of 55719648 in words is "fifty-five million, seven hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 79 93 96 124 144 158 186 237 248 279 288 316 372 474 496 558 632 711 744 948 992 1116 1264 1422 1488 1896 2232 2449 2528 2844 2976 3792 4464 4898 5688 6241 7347 7584 8928 9796 11376 12482 14694 18723 19592 22041 22752 24964 29388 37446 39184 44082 49928 56169 58776 74892 78368 88164 99856 112338 117552 149784 176328 193471 199712 224676 235104 299568 352656 386942 449352 580413 599136 705312 773884 898704 1160826 1547768 1741239 1797408 2321652 3095536 3482478 4643304 6191072 6964956 9286608 13929912 18573216 27859824 55719648