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48991104 = 273223432
BaseRepresentation
bin1011101011100…
…0101110000000
310102012000011100
42322320232000
5100020203404
64510014400
71133263131
oct272705600
9112160140
1048991104
1125721818
12144a7400
13a1c4126
146713c88
15447ad39
hex2eb8b80

48991104 has 144 divisors (see below), whose sum is σ = 150607080. Its totient is φ = 15257088.

The previous prime is 48991099. The next prime is 48991141. The reversal of 48991104 is 40119984.

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

It is a super-2 number, since 2×489911042 = 4800256542277632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1139307 + ... + 1139349.

Almost surely, 248991104 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 48991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75303540).

48991104 is an abundant number, since it is smaller than the sum of its proper divisors (101615976).

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

48991104 is a wasteful number, since it uses less digits than its factorization.

48991104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 48991104 is about 6999.3645425853. The cubic root of 48991104 is about 365.9084246392.

The spelling of 48991104 in words is "forty-eight million, nine hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 64 69 72 86 92 96 128 129 138 144 172 184 192 207 258 276 288 344 368 384 387 414 516 552 576 688 736 774 828 989 1032 1104 1152 1376 1472 1548 1656 1849 1978 2064 2208 2752 2944 2967 3096 3312 3698 3956 4128 4416 5504 5547 5934 6192 6624 7396 7912 8256 8832 8901 11094 11868 12384 13248 14792 15824 16512 16641 17802 22188 23736 24768 26496 29584 31648 33282 35604 42527 44376 47472 49536 59168 63296 66564 71208 85054 88752 94944 118336 126592 127581 133128 142416 170108 177504 189888 236672 255162 266256 284832 340216 355008 379776 382743 510324 532512 569664 680432 710016 765486 1020648 1065024 1139328 1360864 1530972 2041296 2130048 2721728 3061944 4082592 5443456 6123888 8165184 12247776 16330368 24495552 48991104