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61019808 = 2533741419
BaseRepresentation
bin1110100011000…
…1011010100000
311020211010102220
43220301122200
5111110113213
610015511040
71340442213
oct350613240
9136733386
1061019808
11314980a3
1218528480
13c8461c5
14816577a
155554e23
hex3a316a0

61019808 has 96 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 19261440.

The previous prime is 61019789. The next prime is 61019809. The reversal of 61019808 is 80891016.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (61019809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145423 + ... + 145841.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 261019808 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 61019808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

61019808 is an abundant number, since it is smaller than the sum of its proper divisors (107900832).

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

61019808 is a wasteful number, since it uses less digits than its factorization.

61019808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 61019808 is about 7811.5176502393. The cubic root of 61019808 is about 393.6923225166.

The spelling of 61019808 in words is "sixty-one million, nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 74 82 96 111 123 148 164 222 246 296 328 419 444 492 592 656 838 888 984 1184 1257 1312 1517 1676 1776 1968 2514 3034 3352 3552 3936 4551 5028 6068 6704 9102 10056 12136 13408 15503 17179 18204 20112 24272 31006 34358 36408 40224 46509 48544 51537 62012 68716 72816 93018 103074 124024 137432 145632 186036 206148 248048 274864 372072 412296 496096 549728 635623 744144 824592 1271246 1488288 1649184 1906869 2542492 3813738 5084984 7627476 10169968 15254952 20339936 30509904 61019808