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499993000024 = 237223255121739
BaseRepresentation
bin1110100011010011110…
…01111011100001011000
31202210120101001002002011
413101221321323201120
531142441202000044
61021405453115304
751060202243300
oct7215171734130
91683511032064
10499993000024
111830560172a1
1280a9a788b34
13381c286988b
141a2b2320600
15d0151ee134
hex7469e7b858

499993000024 has 96 divisors (see below), whose sum is σ = 1138459449600. Its totient is φ = 204876302400.

The previous prime is 499993000021. The next prime is 499993000027. The reversal of 499993000024 is 420000399994.

It is an interprime number because it is at equal distance from previous prime (499993000021) and next prime (499993000027).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499993000021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22988947 + ... + 23010685.

It is an arithmetic number, because the mean of its divisors is an integer number (11858952600).

Almost surely, 2499993000024 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 499993000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569229724800).

499993000024 is an abundant number, since it is smaller than the sum of its proper divisors (638466449576).

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

499993000024 is a wasteful number, since it uses less digits than its factorization.

499993000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24333 (or 24322 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 499993000024 in words is "four hundred ninety-nine billion, nine hundred ninety-three million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1288 2254 2551 4508 5102 9016 10204 17857 20408 21739 35714 43478 58673 71428 86956 117346 124999 142856 152173 173912 234692 249998 304346 410711 469384 499996 499997 608692 821422 999992 999994 1065211 1217384 1642844 1999988 2130422 2874977 3285688 3499979 3999976 4260844 5749954 6999958 8521688 11499908 13999916 22999816 24499853 27999832 48999706 55456189 97999412 110912378 195998824 221824756 388193323 443649512 776386646 1275492347 1552773292 2550984694 2717353261 3105546584 5101969388 5434706522 8928446429 10203938776 10869413044 17856892858 21738826088 35713785716 62499125003 71427571432 124998250006 249996500012 499993000024