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81409224 = 233131931443
BaseRepresentation
bin1001101101000…
…11010011001000
312200012000110110
410312203103020
5131320043344
612024514320
72005652451
oct466432310
9180160413
1081409224
1141a53a56
122331b9a0
1313b34950
14ab52128
1572313b9
hex4da34c8

81409224 has 128 divisors (see below), whose sum is σ = 238694400. Its totient is φ = 22913280.

The previous prime is 81409189. The next prime is 81409241. The reversal of 81409224 is 42290418.

It is a junction number, because it is equal to n+sod(n) for n = 81409191 and 81409200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183547 + ... + 183989.

It is an arithmetic number, because the mean of its divisors is an integer number (1864800).

Almost surely, 281409224 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 81409224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119347200).

81409224 is an abundant number, since it is smaller than the sum of its proper divisors (157285176).

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

81409224 is a wasteful number, since it uses less digits than its factorization.

81409224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 81409224 is about 9022.7060242479. The cubic root of 81409224 is about 433.4022932987.

The spelling of 81409224 in words is "eighty-one million, four hundred nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 186 228 247 248 312 372 403 443 456 494 589 741 744 806 886 988 1178 1209 1329 1482 1612 1767 1772 1976 2356 2418 2658 2964 3224 3534 3544 4712 4836 5316 5759 5928 7068 7657 8417 9672 10632 11518 13733 14136 15314 16834 17277 22971 23036 25251 27466 30628 33668 34554 41199 45942 46072 50502 54932 61256 67336 69108 82398 91884 101004 109421 109864 138216 164796 178529 183768 202008 218842 260927 328263 329592 357058 437684 521854 535587 656526 714116 782781 875368 1043708 1071174 1313052 1428232 1565562 2087416 2142348 2626104 3131124 3392051 4284696 6262248 6784102 10176153 13568204 20352306 27136408 40704612 81409224