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61898368 = 277271139
BaseRepresentation
bin1110110000011…
…1111010000000
311022110202121011
43230013322000
5111321221433
610050410304
71351061500
oct354077200
9138422534
1061898368
1131a38184
1218890994
13ca9306c
148313a00
15567a3cd
hex3b07e80

61898368 has 96 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 25966080.

The previous prime is 61898363. The next prime is 61898387. The reversal of 61898368 is 86389816.

It is a super-2 number, since 2×618983682 = 7662815922126848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (61898363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445243 + ... + 445381.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 261898368 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 61898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

61898368 is an abundant number, since it is smaller than the sum of its proper divisors (84614432).

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

61898368 is a wasteful number, since it uses less digits than its factorization.

61898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The square root of 61898368 is about 7867.5515886456. The cubic root of 61898368 is about 395.5727800904.

The spelling of 61898368 in words is "sixty-one million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 139 142 196 224 278 284 392 448 497 556 568 784 896 973 994 1112 1136 1568 1946 1988 2224 2272 3136 3479 3892 3976 4448 4544 6272 6811 6958 7784 7952 8896 9088 9869 13622 13916 15568 15904 17792 19738 27244 27832 31136 31808 39476 54488 55664 62272 63616 69083 78952 108976 111328 124544 138166 157904 217952 222656 276332 315808 435904 445312 483581 552664 631616 871808 967162 1105328 1263232 1934324 2210656 3868648 4421312 7737296 8842624 15474592 30949184 61898368