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61149492 = 2235531187
BaseRepresentation
bin1110100101000…
…1000100110100
311021001201100000
43221101010310
5111123240432
610022351300
71341522255
oct351210464
9137051300
1061149492
1131576578
121858b530
13c890241
14819ab2c
15557d57c
hex3a51134

61149492 has 72 divisors (see below), whose sum is σ = 163459296. Its totient is φ = 19981728.

The previous prime is 61149469. The next prime is 61149509. The reversal of 61149492 is 29494116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50923 + ... + 52109.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 261149492 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 61149492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81729648).

61149492 is an abundant number, since it is smaller than the sum of its proper divisors (102309804).

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

61149492 is a wasteful number, since it uses less digits than its factorization.

61149492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61149492 is about 7819.8140642857. The cubic root of 61149492 is about 393.9710269263.

The spelling of 61149492 in words is "sixty-one million, one hundred forty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 954 972 1187 1431 1908 2374 2862 3561 4293 4748 5724 7122 8586 10683 12879 14244 17172 21366 25758 32049 42732 51516 62911 64098 96147 125822 128196 188733 192294 251644 288441 377466 384588 566199 576882 754932 1132398 1153764 1698597 2264796 3397194 5095791 6794388 10191582 15287373 20383164 30574746 61149492