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61476096 = 2831119383
BaseRepresentation
bin1110101010000…
…0110100000000
311021200022100110
43222200310000
5111214213341
610033351320
71344352413
oct352406400
9137608313
1061476096
11317799a0
1218708540
13c975ab6
148243b7a
1555e5216
hex3aa0d00

61476096 has 144 divisors (see below), whose sum is σ = 188375040. Its totient is φ = 17602560.

The previous prime is 61476089. The next prime is 61476119. The reversal of 61476096 is 69067416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160321 + ... + 160703.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 261476096 is an apocalyptic number.

61476096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61476096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187520).

61476096 is an abundant number, since it is smaller than the sum of its proper divisors (126898944).

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

61476096 is a wasteful number, since it uses less digits than its factorization.

61476096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 61476096 is about 7840.6693591810. The cubic root of 61476096 is about 394.6711914099.

It can be divided in two parts, 6 and 1476096, that multiplied together give a square (8856576 = 29762).

The spelling of 61476096 in words is "sixty-one million, four hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 383 384 418 456 528 608 627 704 766 768 836 912 1056 1149 1216 1254 1408 1532 1672 1824 2112 2298 2432 2508 2816 3064 3344 3648 4213 4224 4596 4864 5016 6128 6688 7277 7296 8426 8448 9192 10032 12256 12639 13376 14554 14592 16852 18384 20064 21831 24512 25278 26752 29108 33704 36768 40128 43662 49024 50556 53504 58216 67408 73536 80047 80256 87324 98048 101112 116432 134816 147072 160094 160512 174648 202224 232864 240141 269632 294144 320188 349296 404448 465728 480282 539264 640376 698592 808896 931456 960564 1078528 1280752 1397184 1617792 1862912 1921128 2561504 2794368 3235584 3842256 5123008 5588736 7684512 10246016 15369024 20492032 30738048 61476096