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90450432 = 2935727
BaseRepresentation
bin1010110010000…
…10101000000000
320022012100200000
411121002220000
5141123403212
612550400000
72145546612
oct531025000
9208170600
1090450432
1147069826
1226360000
131597bc87
14c026db2
157e1a1dc
hex5642a00

90450432 has 120 divisors (see below), whose sum is σ = 271086816. Its totient is φ = 30108672.

The previous prime is 90450413. The next prime is 90450461. The reversal of 90450432 is 23405409.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90450396 and 90450405.

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, 124053 + ... + 124779.

Almost surely, 290450432 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 90450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135543408).

90450432 is an abundant number, since it is smaller than the sum of its proper divisors (180636384).

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

90450432 is an frugal number, since it uses more digits than its factorization.

90450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 732 counting only the distinct ones).

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

The square root of 90450432 is about 9510.5432021520. The cubic root of 90450432 is about 448.8868487020.

The spelling of 90450432 in words is "ninety million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 727 768 864 972 1152 1296 1454 1536 1728 1944 2181 2304 2592 2908 3456 3888 4362 4608 5184 5816 6543 6912 7776 8724 10368 11632 13086 13824 15552 17448 19629 20736 23264 26172 31104 34896 39258 41472 46528 52344 58887 62208 69792 78516 93056 104688 117774 124416 139584 157032 176661 186112 209376 235548 279168 314064 353322 372224 418752 471096 558336 628128 706644 837504 942192 1116672 1256256 1413288 1675008 1884384 2512512 2826576 3350016 3768768 5025024 5653152 7537536 10050048 11306304 15075072 22612608 30150144 45225216 90450432