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122483728 = 24193141317
BaseRepresentation
bin1110100110011…
…11010000010000
322112110211002101
413103033100100
5222323434403
620053130144
73015044263
oct723172020
9275424071
10122483728
1163158924
1235029954
131c4b65a3
14123a4cda
15ab4671d
hex74cf410

122483728 has 80 divisors (see below), whose sum is σ = 264983040. Its totient is φ = 54604800.

The previous prime is 122483719. The next prime is 122483731. The reversal of 122483728 is 827384221.

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, 386226 + ... + 386542.

It is an arithmetic number, because the mean of its divisors is an integer number (3312288).

Almost surely, 2122483728 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 122483728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491520).

122483728 is an abundant number, since it is smaller than the sum of its proper divisors (142499312).

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

122483728 is a wasteful number, since it uses less digits than its factorization.

122483728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 122483728 is about 11067.2366921468. The cubic root of 122483728 is about 496.6222030272.

The spelling of 122483728 in words is "one hundred twenty-two million, four hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 38 41 62 76 82 124 152 164 248 304 317 328 496 589 634 656 779 1178 1268 1271 1558 2356 2536 2542 3116 4712 5072 5084 6023 6232 9424 9827 10168 12046 12464 12997 19654 20336 24092 24149 25994 39308 48184 48298 51988 78616 96368 96596 103976 157232 186713 193192 207952 246943 373426 386384 402907 493886 746852 805814 987772 1493704 1611628 1975544 2987408 3223256 3951088 6446512 7655233 15310466 30620932 61241864 122483728