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74989248 = 2633143293
BaseRepresentation
bin1000111100000…
…11111011000000
312020002211220120
410132003323000
5123144123443
611235140240
71600253355
oct436037300
9166084816
1074989248
1139369594
1221144680
13126c7749
149d6062c
1568b4083
hex4783ec0

74989248 has 112 divisors (see below), whose sum is σ = 210287616. Its totient is φ = 23546880.

The previous prime is 74989237. The next prime is 74989267. The reversal of 74989248 is 84298947.

It is a self number, because there is not a number n which added to its sum of digits gives 74989248.

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, 255790 + ... + 256082.

It is an arithmetic number, because the mean of its divisors is an integer number (1877568).

Almost surely, 274989248 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 74989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105143808).

74989248 is an abundant number, since it is smaller than the sum of its proper divisors (135298368).

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

74989248 is a wasteful number, since it uses less digits than its factorization.

74989248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 74989248 is about 8659.6332485851. The cubic root of 74989248 is about 421.6961792700.

The spelling of 74989248 in words is "seventy-four million, nine hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 129 172 186 192 248 258 293 344 372 496 516 586 688 744 879 992 1032 1172 1333 1376 1488 1758 1984 2064 2344 2666 2752 2976 3516 3999 4128 4688 5332 5952 7032 7998 8256 9083 9376 10664 12599 14064 15996 18166 18752 21328 25198 27249 28128 31992 36332 37797 42656 50396 54498 56256 63984 72664 75594 85312 100792 108996 127968 145328 151188 201584 217992 255936 290656 302376 390569 403168 435984 581312 604752 781138 806336 871968 1171707 1209504 1562276 1743936 2343414 2419008 3124552 4686828 6249104 9373656 12498208 18747312 24996416 37494624 74989248