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2046890496 = 29371271499
BaseRepresentation
bin111101000000001…
…0001001000000000
312021122120210220010
41322000101020000
513143000443441
6535035544520
7101503165530
oct17200211000
95248523803
102046890496
11960464142
124915bb140
132680b4311
14155bc34c0
15bea76116
hex7a011200

2046890496 has 160 divisors (see below), whose sum is σ = 6285312000. Its totient is φ = 579833856.

The previous prime is 2046890471. The next prime is 2046890513. The reversal of 2046890496 is 6940986402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364755 + ... + 1366253.

It is an arithmetic number, because the mean of its divisors is an integer number (39283200).

Almost surely, 22046890496 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 2046890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656000).

2046890496 is an abundant number, since it is smaller than the sum of its proper divisors (4238421504).

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

2046890496 is a wasteful number, since it uses less digits than its factorization.

2046890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2046890496 is about 45242.5739320830. The cubic root of 2046890496 is about 1269.6914736109.

The spelling of 2046890496 in words is "two billion, forty-six million, eight hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 512 672 762 768 889 896 1016 1344 1499 1524 1536 1778 1792 2032 2667 2688 2998 3048 3556 3584 4064 4497 5334 5376 5996 6096 7112 8128 8994 10493 10668 10752 11992 12192 14224 16256 17988 20986 21336 23984 24384 28448 31479 32512 35976 41972 42672 47968 48768 56896 62958 65024 71952 83944 85344 95936 97536 113792 125916 143904 167888 170688 190373 191872 195072 227584 251832 287808 335776 341376 380746 383744 455168 503664 571119 575616 671552 682752 761492 767488 1007328 1142238 1151232 1332611 1343104 1365504 1522984 2014656 2284476 2302464 2665222 2686208 3045968 3997833 4029312 4568952 5330444 5372416 6091936 7995666 8058624 9137904 10660888 12183872 15991332 16117248 18275808 21321776 24367744 31982664 36551616 42643552 48735488 63965328 73103232 85287104 97470976 127930656 146206464 170574208 255861312 292412928 341148416 511722624 682296832 1023445248 2046890496