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90404352 = 293223853
BaseRepresentation
bin1010110001101…
…11011000000000
320022010000110100
411120313120000
5141120414402
612545402400
72145265353
oct530673000
9208100410
1090404352
1147038145
1226339400
1315963ccc
14c01429a
157e0b71c
hex5637600

90404352 has 120 divisors (see below), whose sum is σ = 272576304. Its totient is φ = 28790784.

The previous prime is 90404341. The next prime is 90404381. The reversal of 90404352 is 25340409.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105558 + ... + 106410.

Almost surely, 290404352 is an apocalyptic number.

90404352 is a gapful number since it is divisible by the number (92) 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 90404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136288152).

90404352 is an abundant number, since it is smaller than the sum of its proper divisors (182171952).

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

90404352 is a wasteful number, since it uses less digits than its factorization.

90404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 90404352 is about 9508.1203189695. The cubic root of 90404352 is about 448.8106072397.

The spelling of 90404352 in words is "ninety million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 853 1104 1152 1472 1536 1656 1706 2208 2304 2559 2944 3312 3412 4416 4608 5118 5888 6624 6824 7677 8832 10236 11776 13248 13648 15354 17664 19619 20472 26496 27296 30708 35328 39238 40944 52992 54592 58857 61416 78476 81888 105984 109184 117714 122832 156952 163776 176571 218368 235428 245664 313904 327552 353142 436736 470856 491328 627808 655104 706284 941712 982656 1255616 1310208 1412568 1883424 1965312 2511232 2825136 3766848 3930624 5022464 5650272 7533696 10044928 11300544 15067392 22601088 30134784 45202176 90404352