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74402640 = 24325137949
BaseRepresentation
bin1000110111101…
…00101101010000
312012000001020100
410123310231100
5123021341030
611214412400
71562261214
oct433645520
9165001210
1074402640
1138aa8894
1220b01100
1312550740
149c4a944
1567ea360
hex46f4b50

74402640 has 120 divisors (see below), whose sum is σ = 269123400. Its totient is φ = 18312192.

The previous prime is 74402639. The next prime is 74402641. The reversal of 74402640 is 4620447.

It is an interprime number because it is at equal distance from previous prime (74402639) and next prime (74402641).

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 73410624 = 996^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74402641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5386 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (2242695).

Almost surely, 274402640 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 74402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134561700).

74402640 is an abundant number, since it is smaller than the sum of its proper divisors (194720760).

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

74402640 is a wasteful number, since it uses less digits than its factorization.

74402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 74402640 is about 8625.6964936172. The cubic root of 74402640 is about 420.5937181390.

The spelling of 74402640 in words is "seventy-four million, four hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 7949 9360 15898 23847 31796 39745 47694 63592 71541 79490 95388 103337 119235 127184 143082 158980 190776 206674 238470 286164 310011 317960 357705 381552 413348 476940 516685 572328 620022 635920 715410 826696 930033 953880 1033370 1144656 1240044 1430820 1550055 1653392 1860066 1907760 2066740 2480088 2861640 3100110 3720132 4133480 4650165 4960176 5723280 6200220 7440264 8266960 9300330 12400440 14880528 18600660 24800880 37201320 74402640