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94898304 = 2738113
BaseRepresentation
bin1011010100000…
…00100010000000
320121120100000000
411222000202000
5143243221204
613230000000
72231423304
oct552004200
9217510000
1094898304
1149627556
1227946000
1316878657
14c863d04
1584e8039
hex5a80880

94898304 has 144 divisors (see below), whose sum is σ = 286077870. Its totient is φ = 31352832.

The previous prime is 94898273. The next prime is 94898317. The reversal of 94898304 is 40389849.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 419904 = 9720^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 94898304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839752 + ... + 839864.

Almost surely, 294898304 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 94898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143038935).

94898304 is an abundant number, since it is smaller than the sum of its proper divisors (191179566).

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

94898304 is an frugal number, since it uses more digits than its factorization.

94898304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 94898304 is about 9741.5760531856. The cubic root of 94898304 is about 456.1273882322.

The spelling of 94898304 in words is "ninety-four million, eight hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 128 144 162 192 216 226 243 288 324 339 384 432 452 486 576 648 678 729 864 904 972 1017 1152 1296 1356 1458 1728 1808 1944 2034 2187 2592 2712 2916 3051 3456 3616 3888 4068 4374 5184 5424 5832 6102 6561 7232 7776 8136 8748 9153 10368 10848 11664 12204 13122 14464 15552 16272 17496 18306 21696 23328 24408 26244 27459 31104 32544 34992 36612 43392 46656 48816 52488 54918 65088 69984 73224 82377 93312 97632 104976 109836 130176 139968 146448 164754 195264 209952 219672 247131 279936 292896 329508 390528 419904 439344 494262 585792 659016 741393 839808 878688 988524 1171584 1318032 1482786 1757376 1977048 2636064 2965572 3514752 3954096 5272128 5931144 7908192 10544256 11862288 15816384 23724576 31632768 47449152 94898304