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4006671032 = 237136079067
BaseRepresentation
bin1110111011010000…
…1111001010111000
3101100020020222101102
43232310033022320
531201201433112
61501324510532
7201201066440
oct35664171270
911306228342
104006671032
111776730281
129399ab448
134bb118c80
142a01ad120
15186b41bc2
hexeed0f2b8

4006671032 has 64 divisors (see below), whose sum is σ = 9262417920. Its totient is φ = 1582270848.

The previous prime is 4006671007. The next prime is 4006671041. The reversal of 4006671032 is 2301766004.

It is a junction number, because it is equal to n+sod(n) for n = 4006670986 and 4006671004.

It is a congruent number.

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, 437363 + ... + 446429.

It is an arithmetic number, because the mean of its divisors is an integer number (144725280).

Almost surely, 24006671032 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 4006671032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631208960).

4006671032 is an abundant number, since it is smaller than the sum of its proper divisors (5255746888).

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

4006671032 is a wasteful number, since it uses less digits than its factorization.

4006671032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9700 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 4006671032 is about 63298.2703713143. The cubic root of 4006671032 is about 1588.2830287763.

The spelling of 4006671032 in words is "four billion, six million, six hundred seventy-one thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 607 728 1214 2428 4249 4856 7891 8498 9067 15782 16996 18134 31564 33992 36268 55237 63128 63469 72536 110474 117871 126938 220948 235742 253876 441896 471484 507752 825097 942968 1650194 3300388 5503669 6600776 11007338 22014676 38525683 44029352 71547697 77051366 143095394 154102732 286190788 308205464 500833879 572381576 1001667758 2003335516 4006671032