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1048530816 = 27324671949
BaseRepresentation
bin111110011111110…
…100111110000000
32201001222212212200
4332133310332000
54121410441231
6252013353200
734661236104
oct7637647600
92631885780
101048530816
114989607a3
12253198800
131392cc948
149d381904
15620babe6
hex3e7f4f80

1048530816 has 96 divisors (see below), whose sum is σ = 3025269000. Its totient is φ = 348582912.

The previous prime is 1048530799. The next prime is 1048530823. The reversal of 1048530816 is 6180358401.

1048530816 is a `hidden beast` number, since 1 + 0 + 48 + 530 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 537010 + ... + 538958.

Almost surely, 21048530816 is an apocalyptic number.

1048530816 is a gapful number since it is divisible by the number (16) 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 1048530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512634500).

1048530816 is an abundant number, since it is smaller than the sum of its proper divisors (1976738184).

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

1048530816 is a wasteful number, since it uses less digits than its factorization.

1048530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1048530816 is about 32381.0255550994. The cubic root of 1048530816 is about 1015.9220805352.

The spelling of 1048530816 in words is "one billion, forty-eight million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 467 576 934 1152 1401 1868 1949 2802 3736 3898 4203 5604 5847 7472 7796 8406 11208 11694 14944 15592 16812 17541 22416 23388 29888 31184 33624 35082 44832 46776 59776 62368 67248 70164 89664 93552 124736 134496 140328 179328 187104 249472 268992 280656 374208 537984 561312 748416 910183 1122624 1820366 2245248 2730549 3640732 5461098 7281464 8191647 10922196 14562928 16383294 21844392 29125856 32766588 43688784 58251712 65533176 87377568 116503424 131066352 174755136 262132704 349510272 524265408 1048530816