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74442480 = 2435773607
BaseRepresentation
bin1000110111111…
…10011011110000
312012002001212220
410123332123300
5123024124410
611215321040
71562515320
oct433763360
9165061786
1074442480
1139025812
1220b20180
1312565908
149c5b280
156807070
hex46fe6f0

74442480 has 160 divisors (see below), whose sum is σ = 267792384. Its totient is φ = 16754688.

The previous prime is 74442469. The next prime is 74442497. The reversal of 74442480 is 8424447.

It is a congruent number.

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, 122337 + ... + 122943.

Almost surely, 274442480 is an apocalyptic number.

74442480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133896192).

74442480 is an abundant number, since it is smaller than the sum of its proper divisors (193349904).

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

74442480 is a wasteful number, since it uses less digits than its factorization.

74442480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 74442480 is about 8628.0055632805. The cubic root of 74442480 is about 420.6687757973.

The spelling of 74442480 in words is "seventy-four million, four hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 73 80 84 105 112 120 140 146 168 210 219 240 280 292 336 365 420 438 511 560 584 607 730 840 876 1022 1095 1168 1214 1460 1533 1680 1752 1821 2044 2190 2428 2555 2920 3035 3066 3504 3642 4088 4249 4380 4856 5110 5840 6070 6132 7284 7665 8176 8498 8760 9105 9712 10220 12140 12264 12747 14568 15330 16996 17520 18210 20440 21245 24280 24528 25494 29136 30660 33992 36420 40880 42490 44311 48560 50988 61320 63735 67984 72840 84980 88622 101976 122640 127470 132933 145680 169960 177244 203952 221555 254940 265866 310177 339920 354488 443110 509880 531732 620354 664665 708976 886220 930531 1019760 1063464 1240708 1329330 1550885 1772440 1861062 2126928 2481416 2658660 3101770 3544880 3722124 4652655 4962832 5317320 6203540 7444248 9305310 10634640 12407080 14888496 18610620 24814160 37221240 74442480