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55640480 = 2557247151
BaseRepresentation
bin1101010001000…
…0000110100000
310212200211101112
43110100012200
5103220443410
65304322452
71243636100
oct324200640
9125624345
1055640480
1129453575
1216773428
13b6b187c
147565200
154d41105
hex35101a0

55640480 has 144 divisors (see below), whose sum is σ = 157199616. Its totient is φ = 18547200.

The previous prime is 55640477. The next prime is 55640509. The reversal of 55640480 is 8404655.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368405 + ... + 368555.

It is an arithmetic number, because the mean of its divisors is an integer number (1091664).

Almost surely, 255640480 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 55640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78599808).

55640480 is an abundant number, since it is smaller than the sum of its proper divisors (101559136).

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

55640480 is a wasteful number, since it uses less digits than its factorization.

55640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 55640480 is about 7459.2546544544. The cubic root of 55640480 is about 381.7657436403.

The spelling of 55640480 in words is "fifty-five million, six hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 49 56 70 80 94 98 112 140 151 160 188 196 224 235 245 280 302 329 376 392 470 490 560 604 658 752 755 784 940 980 1057 1120 1208 1316 1504 1510 1568 1645 1880 1960 2114 2303 2416 2632 3020 3290 3760 3920 4228 4606 4832 5264 5285 6040 6580 7097 7399 7520 7840 8456 9212 10528 10570 11515 12080 13160 14194 14798 16912 18424 21140 23030 24160 26320 28388 29596 33824 35485 36848 36995 42280 46060 49679 52640 56776 59192 70970 73696 73990 84560 92120 99358 113552 118384 141940 147980 169120 184240 198716 227104 236768 248395 283880 295960 347753 368480 397432 496790 567760 591920 695506 794864 993580 1135520 1183840 1391012 1589728 1738765 1987160 2782024 3477530 3974320 5564048 6955060 7948640 11128096 13910120 27820240 55640480