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2078992764 = 2233171517499
BaseRepresentation
bin111101111101010…
…1110100101111100
312100212222202221000
41323322232211330
513224210232024
6542144010300
7102343101252
oct17372564574
95325882830
102078992764
119775a0042
124a0300990
13271944144
1415a17c5d2
15c27b7cc9
hex7beae97c

2078992764 has 96 divisors (see below), whose sum is σ = 5745600000. Its totient is φ = 647827200.

The previous prime is 2078992763. The next prime is 2078992813. The reversal of 2078992764 is 4672998702.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2078992764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078992763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273487 + ... + 280985.

It is an arithmetic number, because the mean of its divisors is an integer number (59850000).

Almost surely, 22078992764 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 2078992764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800000).

2078992764 is an abundant number, since it is smaller than the sum of its proper divisors (3666607236).

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

2078992764 is a wasteful number, since it uses less digits than its factorization.

2078992764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2078992764 is about 45595.9731116685. The cubic root of 2078992764 is about 1276.2947788081.

The spelling of 2078992764 in words is "two billion, seventy-eight million, nine hundred ninety-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 151 153 204 302 306 453 459 604 612 906 918 1359 1812 1836 2567 2718 4077 5134 5436 7499 7701 8154 10268 14998 15402 16308 22497 23103 29996 30804 44994 46206 67491 69309 89988 92412 127483 134982 138618 202473 254966 269964 277236 382449 404946 509932 764898 809892 1132349 1147347 1529796 2264698 2294694 3397047 3442041 4529396 4589388 6794094 6884082 10191141 13588188 13768164 19249933 20382282 30573423 38499866 40764564 57749799 61146846 76999732 115499598 122293692 173249397 230999196 346498794 519748191 692997588 1039496382 2078992764