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2045952 = 2113337
BaseRepresentation
bin111110011100000000000
310211221112000
413303200000
51010432302
6111504000
723250606
oct7634000
93757460
102045952
111178177
12828000
1356832c
143b3876
152a631c
hex1f3800

2045952 has 96 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 663552.

The previous prime is 2045929. The next prime is 2045963. The reversal of 2045952 is 2595402.

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 (27).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55278 + ... + 55314.

22045952 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 2045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2045952 is an abundant number, since it is smaller than the sum of its proper divisors (4178448).

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

2045952 is an equidigital number, since it uses as much as digits as its factorization.

2045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2045952 is about 1430.3677848721. The cubic root of 2045952 is about 126.9497393447.

The spelling of 2045952 in words is "two million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1024 1152 1184 1332 1536 1728 1776 1998 2048 2304 2368 2664 3072 3456 3552 3996 4608 4736 5328 6144 6912 7104 7992 9216 9472 10656 13824 14208 15984 18432 18944 21312 27648 28416 31968 37888 42624 55296 56832 63936 75776 85248 113664 127872 170496 227328 255744 340992 511488 681984 1022976 2045952