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1016425424 = 247241103307
BaseRepresentation
bin111100100101010…
…110101111010000
32121211120202120002
4330211112233100
54040201103144
6244505305132
734121321300
oct7445265720
92554522502
101016425424
11481822513
122444951a8
1313276b581
1498dc5600
155e37814e
hex3c956bd0

1016425424 has 120 divisors (see below), whose sum is σ = 2377222848. Its totient is φ = 419489280.

The previous prime is 1016425283. The next prime is 1016425441. The reversal of 1016425424 is 4245246101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3310679 + ... + 3310985.

Almost surely, 21016425424 is an apocalyptic number.

1016425424 is a gapful number since it is divisible by the number (14) 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 1016425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

1016425424 is an abundant number, since it is smaller than the sum of its proper divisors (1360797424).

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

1016425424 is a wasteful number, since it uses less digits than its factorization.

1016425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1016425424 is about 31881.4275715502. The cubic root of 1016425424 is about 1005.4454347497.

The spelling of 1016425424 in words is "one billion, sixteen million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 103 112 164 196 206 287 307 328 392 412 574 614 656 721 784 824 1148 1228 1442 1648 2009 2149 2296 2456 2884 4018 4223 4298 4592 4912 5047 5768 8036 8446 8596 10094 11536 12587 15043 16072 16892 17192 20188 25174 29561 30086 31621 32144 33784 34384 40376 50348 59122 60172 63242 67568 80752 88109 100696 118244 120344 126484 176218 201392 206927 221347 236488 240688 252968 352436 413854 442694 472976 505936 616763 704872 827708 885388 1233526 1296461 1409744 1549429 1655416 1770776 2467052 2592922 3098858 3310832 3541552 4934104 5185844 6197716 9075227 9868208 10371688 12395432 18150454 20743376 24790864 36300908 63526589 72601816 127053178 145203632 254106356 508212712 1016425424