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90263808 = 28351451
BaseRepresentation
bin1010110000101…
…01000100000000
320021211212200000
411120111010000
5141101420213
612542400000
72144141535
oct530250400
9207755600
1090263808
1146a51598
1226290000
131591504b
14bdb8d8c
157dcec73
hex5615100

90263808 has 108 divisors (see below), whose sum is σ = 270077808. Its totient is φ = 30067200.

The previous prime is 90263783. The next prime is 90263821. The reversal of 90263808 is 80836209.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61483 + ... + 62933.

Almost surely, 290263808 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 90263808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135038904).

90263808 is an abundant number, since it is smaller than the sum of its proper divisors (179814000).

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

90263808 is an equidigital number, since it uses as much as digits as its factorization.

90263808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90263808 is about 9500.7267090471. The cubic root of 90263808 is about 448.5779106494.

The spelling of 90263808 in words is "ninety million, two hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1451 1728 1944 2304 2592 2902 3456 3888 4353 5184 5804 6912 7776 8706 10368 11608 13059 15552 17412 20736 23216 26118 31104 34824 39177 46432 52236 62208 69648 78354 92864 104472 117531 139296 156708 185728 208944 235062 278592 313416 352593 371456 417888 470124 557184 626832 705186 835776 940248 1114368 1253664 1410372 1671552 1880496 2507328 2820744 3343104 3760992 5014656 5641488 7521984 10029312 11282976 15043968 22565952 30087936 45131904 90263808